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    November 2015

Dynamical Systems and Differential Equations, AIMS Proceedings 2015
Proceedings of the 10th AIMS International Conference (Madrid, Spain)

Editors: Manuel de León, Wei Feng, Zhaosheng Feng,
Julian Lopez-Gomez, Xin Lu, J.M. Martell,
Javier Parcet, Daniel Peralta-Salas and Weihua Ruan

1

Cover page and Preface    Pages : i - i

Shouchuan Hu and Xin Lu

 Abstract       Full Text           

2

Thermopower of a graphene monolayer with inhomogeneous spin-orbit interaction   Pages : 1 - 9

M. I. Alomar and David Sánchez

 Abstract       References       Full Text          

3

Existence and multiplicity of stationary solutions for a Cahn--Hilliard-type equation in $\mathbb{R}^N$   Pages : 10 - 18

Pablo Álvarez-Caudevilla

 Abstract       References       Full Text          

4

Noncommutative bi-symplectic $\mathbb{N}Q$-algebras of weight 1   Pages : 19 - 28

Luis Álvarez–cónsul and David Fernández

 Abstract       References       Full Text          

5

A nonlinear generalization of the Camassa-Holm equation with peakon solutions   Pages : 29 - 37

Stephen C. Anco,  Elena Recio,  María L. Gandarias and María S. Bruzón

 Abstract       References       Full Text          

6

Hartman-type conditions for multivalued Dirichlet problem in abstract spaces   Pages : 38 - 55

Jan Andres,  Luisa Malaguti and Martina Pavlačková

 Abstract       References       Full Text          

7

Subexponential growth rates in functional differential equations   Pages : 56 - 65

John A. D. Appleby and Denis D. Patterson

 Abstract       References       Full Text          

8

Stabilization of a hyperbolic/elliptic system modelling the viscoelastic-gravitational deformation in a multilayered Earth   Pages : 66 - 74

Alicia Arjona and Jesús Ildefonso Díaz

 Abstract       References       Full Text          

9

Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs   Pages : 75 - 84

Andrea Arnold,  Daniela Calvetti and Erkki Somersalo

 Abstract       References       Full Text          

10

Canard-type solutions in epidemiological models   Pages : 85 - 93

Jacek Banasiak and Eddy Kimba Phongi

 Abstract       References       Full Text          

11

Infinitely many solutions for a perturbed Schrödinger equation   Pages : 94 - 102

Rossella Bartolo,  Anna Maria Candela and Addolorata Salvatore

 Abstract       References       Full Text          

12

Nonlocal problems in Hilbert spaces   Pages : 103 - 111

Irene Benedetti,  Luisa Malaguti and Valentina Taddei

 Abstract       References       Full Text          

13

The role of aerodynamic forces in a mathematical model for suspension bridges   Pages : 112 - 121

Elvise Berchio and Filippo Gazzola

 Abstract       References       Full Text          

14

Optimal control in a free boundary fluid-elasticity interaction   Pages : 122 - 131

Lorena Bociu,  Lucas Castle,  Kristina Martin and Daniel Toundykov

 Abstract       References       Full Text          

15

Analysis of the archetypal functional equation in the non-critical case   Pages : 132 - 141

Leonid V. Bogachev,  Gregory Derfel and Stanislav A. Molchanov

 Abstract       References       Full Text          

16

Some regularity results for a singular elliptic problem   Pages : 142 - 150

Brahim Bougherara,  Jacques Giacomoni and Jesus Hernández

 Abstract       References       Full Text          

17

Classical and nonclassical symmetries and exact solutions for a generalized Benjamin equation   Pages : 151 - 158

M. S. Bruzón,  M. L. Gandarias and J. C. Camacho

 Abstract       References       Full Text          

18

Stochastic control of individual's health investments   Pages : 159 - 168

Christine Burggraf,  Wilfried Grecksch and Thomas Glauben

 Abstract       References       Full Text          

19

Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential   Pages : 169 - 175

Gennadiy Burlak and Salomon García-Paredes

 Abstract       References       Full Text          

20

Similarity reductions of a nonlinear model for vibrations of beams   Pages : 176 - 184

Jose Carlos Camacho and Maria de los Santos Bruzon

 Abstract       References       Full Text          

21

Construction of highly stable implicit-explicit general linear methods   Pages : 185 - 194

Angelamaria Cardone,  Zdzisław Jackiewicz,  Adrian Sandu and Hong Zhang

 Abstract       References       Full Text          

22

Stochastic modeling of the firing activity of coupled neurons periodically driven   Pages : 195 - 203

Maria Francesca Carfora and Enrica Pirozzi

 Abstract       References       Full Text          

23

On the virial theorem for nonholonomic Lagrangian systems   Pages : 204 - 212

José F. Cariñena,  Irina Gheorghiu,  Eduardo Martínez and Patrícia Santos

 Abstract       References       Full Text          

24

Jacobi fields for second-order differential equations on Lie algebroids   Pages : 213 - 222

José F. Cariñena,  Irina Gheorghiu and Eduardo Martínez

 Abstract       References       Full Text          

25

Complete recuperation after the blow up time for semilinear problems   Pages : 223 - 229

Alfonso C. Casal,  Jesús Ildefonso Díaz and José Manuel Vegas

 Abstract       References       Full Text          

26

Branches of positive solutions of subcritical elliptic equations in convex domains   Pages : 230 - 238

Alfonso Castro and Rosa Pardo

 Abstract       References       Full Text          

27

Bridges between subriemannian geometry and algebraic geometry: Now and then   Pages : 239 - 247

Alex L Castro,  Wyatt Howard and Corey Shanbrom

 Abstract       References       Full Text          

28

Fixed point theorems for cyclic operators with application in Fractional integral inclusions with delays   Pages : 248 - 257

Parin Chaipunya and Poom Kumam

 Abstract       References       Full Text          

29

Stability of interacting traveling waves in reaction-convection-diffusion systems   Pages : 258 - 266

Grigori Chapiro,  Lucas Furtado,  Dan Marchesin and Stephen Schecter

 Abstract       References       Full Text          

30

Interaction of oscillatory packets of water waves   Pages : 267 - 275

Martina Chirilus-Bruckner and Guido Schneider

 Abstract       References       Full Text          

31

Existence of nontrivial solutions for equations of $p(x)$-Laplace type without Ambrosetti and Rabinowitz condition   Pages : 276 - 286

Eun Bee Choi and Yun-Ho Kim

 Abstract       References       Full Text          

32

On the properties of solutions set for measure driven differential inclusions   Pages : 287 - 296

Mieczysław Cichoń and Bianca Satco

 Abstract       References       Full Text          

33

Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape   Pages : 297 - 303

Chiara Corsato,  Colette De Coster and Pierpaolo Omari

 Abstract       References       Full Text          

34

An equation unifying both Camassa-Holm and Novikov equations   Pages : 304 - 311

Priscila Leal da Silva and Igor Leite Freire

 Abstract       References       Full Text          

35

NLWE with a special scale invariant damping in odd space dimension   Pages : 312 - 319

Marcello D'Abbicco and Sandra Lucente

 Abstract       References       Full Text          

36

A note on a weakly coupled system of structurally damped waves   Pages : 320 - 329

Marcello D'Abbicco

 Abstract       References       Full Text          

37

A symmetric nearly preserving general linear method for Hamiltonian problems   Pages : 330 - 339

Raffaele D’Ambrosio,  Giuseppe De Martino and Beatrice Paternoster

 Abstract       References       Full Text          

38

Bifurcation without parameters in circuits with memristors: A DAE approach   Pages : 340 - 348

Ignacio García de la Vega and Ricardo Riaza

 Abstract       References       Full Text          

39

Anisotropically diffused and damped Navier-Stokes equations   Pages : 349 - 358

Hermenegildo Borges de Oliveira

 Abstract       References       Full Text          

40

Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation   Pages : 359 - 368

Aslihan Demirkaya,  Panayotis G. Kevrekidis,  Milena Stanislavova and Atanas Stefanov

 Abstract       References       Full Text          

41

Parabolic Monge-Ampere equations giving rise to a free boundary: The worn stone model   Pages : 369 - 378

Gregorio Díaz and Jesús Ildefonso Díaz

 Abstract       References       Full Text          

42

Steiner symmetrization for concave semilinear elliptic and parabolic equations and the obstacle problem   Pages : 379 - 386

J.I. Díaz and D. Gómez-Castro

 Abstract       References       Full Text          

43

Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain   Pages : 387 - 394

Jishan Fan,  Fucai Li and Gen Nakamura

 Abstract       References       Full Text          

44

A regularity criterion for 3D density-dependent MHD system with zero viscosity   Pages : 395 - 399

Jishan Fan and Tohru Ozawa

 Abstract       References       Full Text          

45

Existence and uniqueness of positive solutions for singular biharmonic elliptic systems   Pages : 400 - 408

Luiz F. O. Faria

 Abstract       References       Full Text          

46

On explicit lower bounds and blow-up times in a model of chemotaxis   Pages : 409 - 417

Maria Antonietta Farina,  Monica Marras and Giuseppe Viglialoro

 Abstract       References       Full Text          

47

Singular limit of Allen--Cahn equation with constraint and its Lagrange multiplier   Pages : 418 - 427

Mohammad Hassan Farshbaf-Shaker,  Takeshi Fukao and Noriaki Yamazaki

 Abstract       References       Full Text          

48

A general approach to identification problems and applications to partial differential equations   Pages : 428 - 435

Angelo Favini

 Abstract       References       Full Text          

49

Existence of positive solutions of a superlinear boundary value problem with indefinite weight   Pages : 436 - 445

Guglielmo Feltrin

 Abstract       References       Full Text          

50

High order periodic impulsive problems   Pages : 446 - 454

João Fialho and Feliz Minhós

 Abstract       References       Full Text          

51

Well-posedness for a class of nonlinear degenerate parabolic equations   Pages : 455 - 463

Giuseppe Floridia

 Abstract       References       Full Text          

52

Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity $v^{-1}S(u)$   Pages : 464 - 472

Kentarou Fujie,  Chihiro Nishiyama and Tomomi Yokota

 Abstract       References       Full Text          

53

Remark on a semirelativistic equation in the energy space   Pages : 473 - 478

Kazumasa Fujiwara,  Shuji Machihara and Tohru Ozawa

 Abstract       References       Full Text          

54

Estimates for solutions of nonautonomous semilinear ill-posed problems   Pages : 479 - 488

Matthew A. Fury

 Abstract       References       Full Text          

55

Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded sets   Pages : 489 - 494

Evgeny Galakhov and Olga Salieva

 Abstract       References       Full Text          

56

3D reconstruction for partial data electrical impedance tomography using a sparsity prior   Pages : 495 - 504

Henrik Garde and Kim Knudsen

 Abstract       References       Full Text          

57

Manakov solitons and effects of external potential wells   Pages : 505 - 514

V. S. Gerdjikov,  A. V. Kyuldjiev and M. D. Todorov

 Abstract       References       Full Text          

58

Numerical optimal control of a coupled ODE-PDE model of a truck with a fluid basin   Pages : 515 - 524

Matthias Gerdts and Sven-Joachim Kimmerle

 Abstract       References       Full Text          

59

A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems   Pages : 525 - 532

M. González,  J. Jansson and S. Korotov

 Abstract       References       Full Text          

60

Existence of homoclinic solutions for second order difference equations with $p$-laplacian   Pages : 533 - 539

John R. Graef,  Lingju Kong and Min Wang

 Abstract       References       Full Text          

61

Real cocycles of point-distal minimal flows   Pages : 540 - 548

Gernot Greschonig

 Abstract       References       Full Text          

62

Optimal control for an epidemic in populations of varying size   Pages : 549 - 561

Ellina Grigorieva,  Evgenii Khailov and Andrei Korobeinikov

 Abstract       References       Full Text          

63

The Nehari solutions and asymmetric minimizers   Pages : 562 - 568

Armands Gritsans and Felix Sadyrbaev

 Abstract       References       Full Text          

64

Modeling HIV: Determining the factors affecting the racial disparity in the prevalence of infected women   Pages : 569 - 578

K.F. Gurski,  K.A. Hoffman and E.K. Thomas

 Abstract       References       Full Text          

65

On reachability analysis for nonlinear control systems with state constraints   Pages : 579 - 587

Mikhail Gusev

 Abstract       References       Full Text          

66

Noncontrollability for the Colemann-Gurtin model in several dimensions   Pages : 588 - 595

Andrei Halanay and Luciano Pandolfi

 Abstract       References       Full Text          

67

Existence of positive solutions for a system of nonlinear second-order integral boundary value problems   Pages : 596 - 604

Johnny Henderson and Rodica Luca

 Abstract       References       Full Text          

68

Jacobi--Lie systems: Fundamentals and low-dimensional classification   Pages : 605 - 614

F.J. Herranz,  J. de Lucas and C. Sardón

 Abstract       References       Full Text          

69

Positive solutions of a fractional boundary value problem with a fractional derivative boundary condition   Pages : 615 - 620

Christina A. Hollon and Jeffrey T. Neugebauer

 Abstract       References       Full Text          

70

Optimal control and stability analysis of an epidemic model with education campaign and treatment   Pages : 621 - 634

Sanjukta Hota,  Folashade Agusto,  Hem Raj Joshi and Suzanne Lenhart

 Abstract       References       Full Text          

71

An iterative approach to $L^\infty$-boundedness in quasilinear Keller-Segel systems   Pages : 635 - 643

Sachiko Ishida

 Abstract       References       Full Text          

72

Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field   Pages : 644 - 651

Tetsuya Ishiwata and Kota Kumazaki

 Abstract       References       Full Text          

73

On global dynamics in a multi-dimensional discrete map   Pages : 652 - 659

Anatoli F. Ivanov

 Abstract       References       Full Text          

74

Characterizing chaos in a type of fractional Duffing's equation   Pages : 660 - 669

S. Jiménez and Pedro J. Zufiria

 Abstract       References       Full Text          

75

Linear model of traffic flow in an isolated network   Pages : 670 - 677

Ángela Jiménez-Casas and Aníbal Rodríguez-Bernal

 Abstract       References       Full Text          

76

Stability of neutral delay differential equations modeling wave propagation in cracked media   Pages : 678 - 685

Stéphane Junca and Bruno Lombard

 Abstract       References       Full Text          

77

Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space   Pages : 686 - 695

Barbara Kaltenbacher and Ivan Tomba

 Abstract       References       Full Text          

78

Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models   Pages : 696 - 704

Panayotis G. Kevrekidis,  Vakhtang Putkaradze and Zoi Rapti

 Abstract       References       Full Text          

79

Reduction of a kinetic model of active export of importins   Pages : 705 - 722

Sarbaz H. A. Khoshnaw

 Abstract       References       Full Text          

80

On control synthesis for uncertain dynamical discrete-time systems through polyhedral techniques   Pages : 723 - 732

Elena K. Kostousova

 Abstract       References       Full Text          

81

Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model   Pages : 733 - 744

Akisato Kubo,  Hiroki Hoshino and Katsutaka Kimura

 Abstract       References       Full Text          

82

Strategic games in a competitive market: Feedback from the users' environment   Pages : 745 - 753

Natalia Kudryashova

 Abstract       References       Full Text          

83

Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces   Pages : 754 - 763

Yuta Kugo,  Motohiro Sobajima,  Toshiyuki Suzuki,  Tomomi Yokota and Kentarou Yoshii

 Abstract       References       Full Text          

84

Decomposition of discrete linear-quadratic optimal control problems for switching systems   Pages : 764 - 774

Galina Kurina and Sahlar Meherrem

 Abstract       References       Full Text          

85

An application of an avery type fixed point theorem to a second order antiperiodic boundary value problem   Pages : 775 - 782

Jeffrey W. Lyons

 Abstract       References       Full Text          

86

Optimal control of system governed by the Gao beam equation   Pages : 783 - 792

Jitka Machalová and Horymír Netuka

 Abstract       References       Full Text          

87

Potential estimates and applications to elliptic equations   Pages : 793 - 800

Farman Mamedov,  Sara Monsurrò and Maria Transirico

 Abstract       References       Full Text          

88

Strong solutions to a class of boundary value problems on a mixed Riemannian--Lorentzian metric   Pages : 801 - 808

Antonella Marini and Thomas H. Otway

 Abstract       References       Full Text          

89

Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system   Pages : 809 - 816

Monica Marras,  Stella Vernier Piro and Giuseppe Viglialoro

 Abstract       References       Full Text          

90

Positivity of self-similar solutions of doubly nonlinear reaction-diffusion equations   Pages : 817 - 825

Jochen Merker and Aleš Matas

 Abstract       References       Full Text          

91

Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation   Pages : 826 - 834

Eleonora Messina

 Abstract       References       Full Text          

92

Averaging in random systems of nonnegative matrices   Pages : 835 - 840

Janusz Mierczyński

 Abstract       References       Full Text          

93

Solvability of higher-order BVPs in the half-line with unbounded nonlinearities   Pages : 841 - 850

Feliz Minhós and Hugo Carrasco

 Abstract       References       Full Text          

94

On higher order nonlinear impulsive boundary value problems   Pages : 851 - 860

Feliz Minhós and Rui Carapinha

 Abstract       References       Full Text          

95

Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization   Pages : 861 - 877

Tatsuki Mori,  Kousuke Kuto,  Masaharu Nagayama,  Tohru Tsujikawa and Shoji Yotsutani

 Abstract       References       Full Text          

96

Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition   Pages : 878 - 900

Minoru Murai,  Kunimochi Sakamoto and Shoji Yotsutani

 Abstract       References       Full Text          

97

Remarks on a dispersive equation in de Sitter spacetime   Pages : 901 - 905

Makoto Nakamura

 Abstract       References       Full Text          

98

Oscillation results for second order nonlinear neutral differential equations with delay   Pages : 906 - 912

Saroj Panigrahi and Rakhee Basu

 Abstract       References       Full Text          

99

An in-host model of HIV incorporating latent infection and viral mutation   Pages : 913 - 922

Stephen Pankavich and Deborah Shutt

 Abstract       References       Full Text          

100

A functional-analytic technique for the study of analytic solutions of PDEs   Pages : 923 - 935

Eugenia N. Petropoulou and Panayiotis D. Siafarikas

 Abstract       References       Full Text          

101

Optimal design of sensors for a damped wave equation   Pages : 936 - 944

Yannick Privat and Emmanuel Trélat

 Abstract       References       Full Text          

102

Approximation and model order reduction for second order systems with Levy-noise   Pages : 945 - 953

Martin Redmann and Peter Benner

 Abstract       References       Full Text          

103

Infinitely many multi-pulses near a bifocal cycle   Pages : 954 - 964

Alexandre A. P. Rodrigues

 Abstract       References       Full Text          

104

Exact lumping of feller semigroups: A $C^{\star}$-algebras approach   Pages : 965 - 973

Lavinia Roncoroni

 Abstract       References       Full Text          

105

A model of malignant gliomas throug symmetry reductions   Pages : 974 - 980

María Rosa,  María S. Bruzón and M. L. Gandarias

 Abstract       References       Full Text          

106

Symmetries and solutions of a third order equation   Pages : 981 - 989

Júlio Cesar Santos Sampaio and Igor Leite Freire

 Abstract       References       Full Text          

107

Noether's theorem for higher-order variational problems of Herglotz type   Pages : 990 - 999

Simão P. S. Santos,   Natália Martins and Delfim F. M. Torres

 Abstract       References       Full Text          

108

Absorbing boundary conditions for the Westervelt equation   Pages : 1000 - 1008

Igor Shevchenko and Barbara Kaltenbacher

 Abstract       References       Full Text          

109

Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint   Pages : 1009 - 1018

Ken Shirakawa and Hiroshi Watanabe

 Abstract       References       Full Text          

110

Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space   Pages : 1019 - 1024

Toshiyuki Suzuki

 Abstract       References       Full Text          

111

Singular extremal solutions to a Liouville-Gelfand type problem with exponential nonlinearity   Pages : 1025 - 1033

Futoshi Takahashi

 Abstract       References       Full Text          

112

Recurrence of multi-dimensional diffusion processes in Brownian environments   Pages : 1034 - 1040

Hiroshi Takahashi and Yozo Tamura

 Abstract       References       Full Text          

113

Optimal portfolios based on weakly dependent data   Pages : 1041 - 1049

Hiroshi Takahashi,  Tatsuhiko Saigo,  Shuya Kanagawa and Ken-ichi Yoshihara

 Abstract       References       Full Text          

114

Imperfect bifurcations via topological methods in superlinear indefinite problems   Pages : 1050 - 1059

Andrea Tellini

 Abstract       References       Full Text          

115

Simulation of complex dynamics using POD 'on the fly' and residual estimates   Pages : 1060 - 1069

Filippo Terragni and José M. Vega

 Abstract       References       Full Text          

116

A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation   Pages : 1070 - 1078

Vyacheslav A. Trofimov and Evgeny M. Trykin

 Abstract       References       Full Text          

117

Solvability of generalized nonlinear heat equations with constraints coupled with Navier--Stokes equations in 2D domains   Pages : 1079 - 1088

Yutaka Tsuzuki

 Abstract       References       Full Text          

118

Direct scattering of AKNS systems with $L^2$ potentials   Pages : 1089 - 1097

Cornelis van der Mee

 Abstract       References       Full Text          

119

The Hopf -- Hopf bifurcation with 2:1 resonance: Periodic solutions and invariant tori   Pages : 1098 - 1104

Dmitriy Yu. Volkov

 Abstract       References       Full Text          

120

Blow-up of solutions to semilinear wave equations with non-zero initial data   Pages : 1105 - 1114

Kyouhei Wakasa

 Abstract       References       Full Text          

121

Classification of periodic orbits in the planar equal-mass four-body problem   Pages : 1115 - 1124

Duokui Yan,  Tiancheng Ouyang and Zhifu Xie

 Abstract       References       Full Text          

122

Existence of solutions to chemotaxis dynamics with logistic source   Pages : 1125 - 1133

Tomomi Yokota and Noriaki Yoshino

 Abstract       References       Full Text          

123

Pullback uniform dissipativity of stochastic reversible Schnackenberg equations   Pages : 1134 - 1142

Yuncheng You

 Abstract       References       Full Text