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Energy solutions of the Cauchy-Neumann problem for porous medium equations
Goro Akagi
2009, 2009(Special): 1-10 doi: 10.3934/proc.2009.2009.1 +[Abstract](1061) +[PDF](172.9KB)
Convergence to convection-diffusion waves for solutions to dissipative nonlinear evolution equations
Walter Allegretto, Yanping Lin and Zhiyong Zhang
2009, 2009(Special): 11-23 doi: 10.3934/proc.2009.2009.11 +[Abstract](1065) +[PDF](197.0KB)
Characterizing the existence of coexistence states in a class of cooperative systems
Pablo Álvarez-Caudevilla and Julián López-Gómez
2009, 2009(Special): 24-33 doi: 10.3934/proc.2009.2009.24 +[Abstract](997) +[PDF](169.3KB)
Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems
Roumen Anguelov, Jean M.-S. Lubuma and Meir Shillor
2009, 2009(Special): 34-43 doi: 10.3934/proc.2009.2009.34 +[Abstract](1153) +[PDF](223.5KB)
Accurate parameter estimation for coupled stochastic dynamics
Robert Azencott and Yutheeka Gadhyan
2009, 2009(Special): 44-53 doi: 10.3934/proc.2009.2009.44 +[Abstract](906) +[PDF](159.7KB)
Existence of noncontinuable solutions of a system of differential equations
Miroslav Bartušek
2009, 2009(Special): 54-59 doi: 10.3934/proc.2009.2009.54 +[Abstract](787) +[PDF](133.3KB)
Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping
Lorena Bociu and Petronela Radu
2009, 2009(Special): 60-71 doi: 10.3934/proc.2009.2009.60 +[Abstract](1122) +[PDF](255.9KB)
Infinitely many solutions to superquadratic planar Dirac-type systems
Alberto Boscaggin and Anna Capietto
2009, 2009(Special): 72-81 doi: 10.3934/proc.2009.2009.72 +[Abstract](1012) +[PDF](160.2KB)
Nonlocal problems for parabolic inclusions
Abdelkader Boucherif
2009, 2009(Special): 82-91 doi: 10.3934/proc.2009.2009.82 +[Abstract](940) +[PDF](165.1KB)
Stability analysis and bifurcations in a diffusive predator-prey system
Leonid Braverman and Elena Braverman
2009, 2009(Special): 92-100 doi: 10.3934/proc.2009.2009.92 +[Abstract](913) +[PDF](162.6KB)
A viscoelastic model for avascular tumor growth
Didier Bresch, Thierry Colin, Emmanuel Grenier, Benjamin Ribba and Olivier Saut
2009, 2009(Special): 101-108 doi: 10.3934/proc.2009.2009.101 +[Abstract](1018) +[PDF](235.4KB)
Multipulse states in the Swift-Hohenberg equation
J. Burke and Edgar Knobloch
2009, 2009(Special): 109-117 doi: 10.3934/proc.2009.2009.109 +[Abstract](1022) +[PDF](426.7KB)
Heteroclinic solutions for non-autonomous boundary value problems with singular $\Phi$-Laplacian operators
Alberto Cabada and J. Ángel Cid
2009, 2009(Special): 118-122 doi: 10.3934/proc.2009.2009.118 +[Abstract](892) +[PDF](115.3KB)
Numerical solution and fast-slow decomposition of a population of weakly coupled systems
Alexandre Caboussat and Allison Leonard
2009, 2009(Special): 123-132 doi: 10.3934/proc.2009.2009.123 +[Abstract](1005) +[PDF](244.9KB)
Some abstract critical point theorems and applications
Anna Maria Candela and Giuliana Palmieri
2009, 2009(Special): 133-142 doi: 10.3934/proc.2009.2009.133 +[Abstract](930) +[PDF](174.4KB)
On the minimal time null controllability of the heat equation
Ovidiu Cârjă and Alina Lazu
2009, 2009(Special): 143-150 doi: 10.3934/proc.2009.2009.143 +[Abstract](1063) +[PDF](151.7KB)
A local min-orthogonal method for multiple solutions of strongly coupled elliptic systems
Xianjin Chen and Jianxin Zhou
2009, 2009(Special): 151-160 doi: 10.3934/proc.2009.2009.151 +[Abstract](1159) +[PDF](4502.6KB)
Stability of linear dynamic equations on time scales
Sung Kyu Choi and Namjip Koo
2009, 2009(Special): 161-170 doi: 10.3934/proc.2009.2009.161 +[Abstract](938) +[PDF](178.2KB)
The coarse-grain description of interacting sine-Gordon solitons with varying widths
Ivan Christov and C. I. Christov
2009, 2009(Special): 171-180 doi: 10.3934/proc.2009.2009.171 +[Abstract](1102) +[PDF](214.7KB)
Comparison among different notions of solution for the $p$-system at a junction
Rinaldo M. Colombo and Mauro Garavello
2009, 2009(Special): 181-190 doi: 10.3934/proc.2009.2009.181 +[Abstract](764) +[PDF](253.3KB)
Spiral motion in classical mechanics
Jamie Cruz and Miguel Gutiérrez
2009, 2009(Special): 191-197 doi: 10.3934/proc.2009.2009.191 +[Abstract](871) +[PDF](135.7KB)
The existence of a global attractor for a Kuramoto-Sivashinsky type equation in 2D
Aslihan Demirkaya
2009, 2009(Special): 198-207 doi: 10.3934/proc.2009.2009.198 +[Abstract](922) +[PDF](178.6KB)
Bidifferential graded algebras and integrable systems
Aristophanes Dimakis and Folkert Müller-Hoissen
2009, 2009(Special): 208-219 doi: 10.3934/proc.2009.2009.208 +[Abstract](1002) +[PDF](225.9KB)
Numerical and geometric aspects of the nonholonomic SHAKE and RATTLE methods
Sebastián J. Ferraro, David Iglesias-Ponte and D. Martín de Diego
2009, 2009(Special): 220-229 doi: 10.3934/proc.2009.2009.220 +[Abstract](1171) +[PDF](177.9KB)
Parameter identification and quantitative comparison of differential equations that describe physiological adaptation of a bacterial population under iron limitation
Hedia Fgaier and Hermann J. Eberl
2009, 2009(Special): 230-239 doi: 10.3934/proc.2009.2009.230 +[Abstract](931) +[PDF](161.8KB)
Time-dependent obstacle problem in thermohydraulics
Takeshi Fukao and Masahiro Kubo
2009, 2009(Special): 240-249 doi: 10.3934/proc.2009.2009.240 +[Abstract](985) +[PDF](173.2KB)
A fast iterative scheme for variational inclusions
Michel H. Geoffroy and Alain Piétrus
2009, 2009(Special): 250-258 doi: 10.3934/proc.2009.2009.250 +[Abstract](1140) +[PDF](147.9KB)
Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a Cauchy problem
Peter Giesl and Holger Wendland
2009, 2009(Special): 259-268 doi: 10.3934/proc.2009.2009.259 +[Abstract](888) +[PDF](220.5KB)
Positive solutions to a fourth order three point boundary value problem
John R. Graef, Johnny Henderson and Bo Yang
2009, 2009(Special): 269-275 doi: 10.3934/proc.2009.2009.269 +[Abstract](1128) +[PDF](124.9KB)
Positive solutions of a nonlinear higher order boundary-value problem
John R. Graef, Lingju Kong and Bo Yang
2009, 2009(Special): 276-285 doi: 10.3934/proc.2009.2009.276 +[Abstract](902) +[PDF](146.3KB)
An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users
David Greenhalgh and Wafa Al-Fwzan
2009, 2009(Special): 286-299 doi: 10.3934/proc.2009.2009.286 +[Abstract](1063) +[PDF](224.0KB)
Hierarchical differential games between manufacturer and retailer
Ellina Grigorieva and Evgenii Khailov
2009, 2009(Special): 300-314 doi: 10.3934/proc.2009.2009.300 +[Abstract](923) +[PDF](205.7KB)
Stability properties and existence of almost periodic solutions of volterra difference equations
Yoshihiro Hamaya
2009, 2009(Special): 315-321 doi: 10.3934/proc.2009.2009.315 +[Abstract](968) +[PDF](117.1KB)
Dimension splitting for time dependent operators
Eskil Hansen and Alexander Ostermann
2009, 2009(Special): 322-332 doi: 10.3934/proc.2009.2009.322 +[Abstract](1281) +[PDF](162.8KB)
$H^2$-solutions for some elliptic equations with nonlinear boundary conditions
Junichi Harada and Mitsuharu Ôtani
2009, 2009(Special): 333-339 doi: 10.3934/proc.2009.2009.333 +[Abstract](836) +[PDF](138.0KB)
Classification of nonoscillatory solutions of nonlinear neutral differential equations
Mustafa Hasanbulli and Yuri V. Rogovchenko
2009, 2009(Special): 340-348 doi: 10.3934/proc.2009.2009.340 +[Abstract](1012) +[PDF](149.8KB)
Nonexistence of weak solutions of quasilinear elliptic equations with variable coefficients
Takahiro Hashimoto
2009, 2009(Special): 349-358 doi: 10.3934/proc.2009.2009.349 +[Abstract](1095) +[PDF](163.1KB)
On the non-integrability of the Popowicz peakon system
Andrew N. W. Hone and Michael V. Irle
2009, 2009(Special): 359-366 doi: 10.3934/proc.2009.2009.359 +[Abstract](869) +[PDF](146.1KB)
Stability, bifurcation analysis in a neural network model with delay and diffusion
Rui Hu and Yuan Yuan
2009, 2009(Special): 367-376 doi: 10.3934/proc.2009.2009.367 +[Abstract](1344) +[PDF](183.2KB)
Positive solutions of nonlocal boundary value problems with singularities
G. Infante
2009, 2009(Special): 377-384 doi: 10.3934/proc.2009.2009.377 +[Abstract](931) +[PDF](150.4KB)
Periodic solutions and their stability of a differential-difference equation
Anatoli F. Ivanov and Sergei Trofimchuk
2009, 2009(Special): 385-393 doi: 10.3934/proc.2009.2009.385 +[Abstract](932) +[PDF](163.2KB)
Analysis of an operator splitting method in 4D-Var
Lijian Jiang and Craig C. Douglas
2009, 2009(Special): 394-403 doi: 10.3934/proc.2009.2009.394 +[Abstract](1080) +[PDF](157.0KB)
Intelligent traffic control on internet-like topologies - integration of graph principles to the classic Runge--Kutta method
Antonia Katzouraki and Tania Stathaki
2009, 2009(Special): 404-415 doi: 10.3934/proc.2009.2009.404 +[Abstract](1154) +[PDF](828.4KB)
Existence and nonexistence of positive solutions for a nonlinear fractional boundary value problem
Eric R. Kaufmann
2009, 2009(Special): 416-423 doi: 10.3934/proc.2009.2009.416 +[Abstract](1149) +[PDF](137.9KB)
A stability estimate for fluid structure interaction problem with non-linear beam
Emine Kaya, Eugenio Aulisa, Akif Ibragimov and Padmanabhan Seshaiyer
2009, 2009(Special): 424-432 doi: 10.3934/proc.2009.2009.424 +[Abstract](1176) +[PDF](131.6KB)
Sampling - reconstruction procedure with jitter of markov continuous processes formed by stochastic differential equations of the first order
Vladimir Kazakov
2009, 2009(Special): 433-441 doi: 10.3934/proc.2009.2009.433 +[Abstract](1042) +[PDF](407.8KB)
A dual-Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations
Netra Khanal, Ramjee Sharma, Jiahong Wu and Juan-Ming Yuan
2009, 2009(Special): 442-450 doi: 10.3934/proc.2009.2009.442 +[Abstract](1308) +[PDF](168.5KB)
On the local solvability of Darboux's equation
Marcus A. Khuri
2009, 2009(Special): 451-456 doi: 10.3934/proc.2009.2009.451 +[Abstract](843) +[PDF](115.5KB)
Existence of nodal solutions of multi-point boundary value problems
Lingju Kong and Qingkai Kong
2009, 2009(Special): 457-465 doi: 10.3934/proc.2009.2009.457 +[Abstract](927) +[PDF](163.3KB)
State estimation for linear impulsive differential systems through polyhedral techniques
Elena K. Kostousova
2009, 2009(Special): 466-475 doi: 10.3934/proc.2009.2009.466 +[Abstract](808) +[PDF](205.8KB)
Generalized solutions of a non-isothermal phase separation model
Kota Kumazaki, Akio Ito and Masahiro Kubo
2009, 2009(Special): 476-485 doi: 10.3934/proc.2009.2009.476 +[Abstract](1122) +[PDF](139.3KB)
Approximating problems of vectorial singular diffusion equations with inhomogeneous terms and numerical simulations
Hirotoshi Kuroda and Noriaki Yamazaki
2009, 2009(Special): 486-495 doi: 10.3934/proc.2009.2009.486 +[Abstract](892) +[PDF](375.4KB)
A robust finite element method for singularly perturbed convection-diffusion problems
Runchang Lin
2009, 2009(Special): 496-505 doi: 10.3934/proc.2009.2009.496 +[Abstract](1055) +[PDF](297.6KB)
Wronskian solutions to integrable equations
Wen-Xiu Ma
2009, 2009(Special): 506-515 doi: 10.3934/proc.2009.2009.506 +[Abstract](845) +[PDF](168.7KB)
On a solution with transition layers for a bistable reaction-diffusion equation with spatially heterogeneous environments
Hiroshi Matsuzawa
2009, 2009(Special): 516-525 doi: 10.3934/proc.2009.2009.516 +[Abstract](1188) +[PDF](213.7KB)
Stability of traveling wavefronts for time-delayed reaction-diffusion equations
Ming Mei
2009, 2009(Special): 526-535 doi: 10.3934/proc.2009.2009.526 +[Abstract](1054) +[PDF](202.0KB)
On the one-dimensional version of the dynamical Marguerre-Vlasov system with thermal effects
Gustavo Alberto Perla Menzala and Julian Moises Sejje Suárez
2009, 2009(Special): 536-547 doi: 10.3934/proc.2009.2009.536 +[Abstract](1076) +[PDF](162.0KB)
Stochastic inclusions with non-continuous set-valued operators
Mariusz Michta
2009, 2009(Special): 548-557 doi: 10.3934/proc.2009.2009.548 +[Abstract](942) +[PDF](155.6KB)
A nonstandard finite difference scheme for the drift-diffusion system
Ronald E. Mickens
2009, 2009(Special): 558-563 doi: 10.3934/proc.2009.2009.558 +[Abstract](890) +[PDF](97.0KB)
On the solvability of some fourth-order equations with functional boundary conditions
Feliz Minhós and João Fialho
2009, 2009(Special): 564-573 doi: 10.3934/proc.2009.2009.564 +[Abstract](852) +[PDF](145.9KB)
A Sobolev space approach for global solutions to certain semi-linear heat equations in bounded domains
Jason R. Morris
2009, 2009(Special): 574-582 doi: 10.3934/proc.2009.2009.574 +[Abstract](1091) +[PDF](167.9KB)
Elliptic Quasi-variational inequalities and applications
Yusuke Murase, Risei Kano and Nobuyuki Kenmochi
2009, 2009(Special): 583-591 doi: 10.3934/proc.2009.2009.583 +[Abstract](997) +[PDF](142.8KB)
Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
Takashi Narazaki
2009, 2009(Special): 592-601 doi: 10.3934/proc.2009.2009.592 +[Abstract](1049) +[PDF](167.1KB)
Compressible Navier-Stokes equations
Pavel I. Plotnikov and Jan Sokolowski
2009, 2009(Special): 602-611 doi: 10.3934/proc.2009.2009.602 +[Abstract](1248) +[PDF](173.6KB)
On normal stability for nonlinear parabolic equations
Jan Prüss, Gieri Simonett and Rico Zacher
2009, 2009(Special): 612-621 doi: 10.3934/proc.2009.2009.612 +[Abstract](1109) +[PDF](185.5KB)
Travelling fronts of reaction diffusion systems modeling auto-catalysis
Yuanwei Qi
2009, 2009(Special): 622-629 doi: 10.3934/proc.2009.2009.622 +[Abstract](876) +[PDF](128.7KB)
Stability analysis using an energy estimate approach of a reaction-diffusion model of atherogenesis
L.R. Ritter, Akif Ibragimov, Jay R. Walton and Catherine J. McNeal
2009, 2009(Special): 630-639 doi: 10.3934/proc.2009.2009.630 +[Abstract](972) +[PDF](169.5KB)
On positivity and boundedness of solutions of nonlinear stochastic difference equations
Alexandra Rodkina and Henri Schurz
2009, 2009(Special): 640-649 doi: 10.3934/proc.2009.2009.640 +[Abstract](947) +[PDF](193.9KB)
Dynamically consistent discrete-time Lotka-Volterra competition models
Lih-Ing W. Roeger and Razvan Gelca
2009, 2009(Special): 650-658 doi: 10.3934/proc.2009.2009.650 +[Abstract](962) +[PDF](144.8KB)
Multiple solutions of nonlinear boundary value problems for two-dimensional differential systems
Felix Sadyrbaev and Inara Yermachenko
2009, 2009(Special): 659-668 doi: 10.3934/proc.2009.2009.659 +[Abstract](989) +[PDF](173.5KB)
Sign--changing solutions for an asymptotically linear Schrödinger equation
Addolorata Salvatore
2009, 2009(Special): 669-677 doi: 10.3934/proc.2009.2009.669 +[Abstract](885) +[PDF](154.5KB)
Noncommutative AKNS systems and multisoliton solutions to the matrix sine-gordon equation
Cornelia Schiebold
2009, 2009(Special): 678-690 doi: 10.3934/proc.2009.2009.678 +[Abstract](874) +[PDF](186.5KB)
A remark on blow-up at space infinity
Yukihiro Seki
2009, 2009(Special): 691-696 doi: 10.3934/proc.2009.2009.691 +[Abstract](816) +[PDF](141.5KB)
Stability analysis for two dimensional Allen-Cahn equations associated with crystalline type energies
Ken Shirakawa
2009, 2009(Special): 697-707 doi: 10.3934/proc.2009.2009.697 +[Abstract](1049) +[PDF](303.4KB)
Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation
W. Josh Sonnier and C. I. Christov
2009, 2009(Special): 708-718 doi: 10.3934/proc.2009.2009.708 +[Abstract](1023) +[PDF](307.2KB)
Random coefficient differential equation models for Monod kinetics
Dan Stanescu and Benito Chen-Charpentier
2009, 2009(Special): 719-728 doi: 10.3934/proc.2009.2009.719 +[Abstract](1085) +[PDF](173.7KB)
Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation
Milena Stanislavova and Atanas Stefanov
2009, 2009(Special): 729-738 doi: 10.3934/proc.2009.2009.729 +[Abstract](1030) +[PDF](189.0KB)
New comparison principle with Razumikhin condition for impulsive infinite delay differential systems
Xiaowei Tang and Xilin Fu
2009, 2009(Special): 739-743 doi: 10.3934/proc.2009.2009.739 +[Abstract](931) +[PDF](106.6KB)
Equivalence between observability and stabilization for a class of second order semilinear evolution
Louis Tcheugoue Tebou
2009, 2009(Special): 744-752 doi: 10.3934/proc.2009.2009.744 +[Abstract](1018) +[PDF](180.5KB)
A simple model of two interacting signaling pathways in embryonic Xenopus laevis
Edwin Tecarro, Tung Bui, Marsida Lisi, Amy Sater and Akif Uzman
2009, 2009(Special): 753-760 doi: 10.3934/proc.2009.2009.753 +[Abstract](1061) +[PDF](128.1KB)
Some classes of surfaces in $\mathbb{R}^3$ and $\M_3$ arising from soliton theory and a variational principle
Suleyman Tek
2009, 2009(Special): 761-770 doi: 10.3934/proc.2009.2009.761 +[Abstract](841) +[PDF](455.2KB)
A simplified mathematical model of solid tumor regrowth with therapies
Jianjun Paul Tian, Kendall Stone and Thomas John Wallin
2009, 2009(Special): 771-779 doi: 10.3934/proc.2009.2009.771 +[Abstract](1003) +[PDF](131.7KB)
Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system
M. D. Todorov and C. I. Christov
2009, 2009(Special): 780-789 doi: 10.3934/proc.2009.2009.780 +[Abstract](1031) +[PDF](813.7KB)
A hyperbolic relaxation model for product flow in complex production networks
Ali Unver, Christian Ringhofer and Dieter Armbruster
2009, 2009(Special): 790-799 doi: 10.3934/proc.2009.2009.790 +[Abstract](911) +[PDF](226.4KB)
Random attractors for wave equations on unbounded domains
Bixiang Wang and Xiaoling Gao
2009, 2009(Special): 800-809 doi: 10.3934/proc.2009.2009.800 +[Abstract](1031) +[PDF](172.3KB)
Existence and nonexistence of positive radial solutions for quasilinear systems
Haiyan Wang
2009, 2009(Special): 810-817 doi: 10.3934/proc.2009.2009.810 +[Abstract](905) +[PDF](126.3KB)
Existence of solutions to singular integral equations
Patricia J.Y. Wong
2009, 2009(Special): 818-827 doi: 10.3934/proc.2009.2009.818 +[Abstract](911) +[PDF](151.5KB)
General uniqueness results and examples for blow-up solutions of elliptic equations
Zhifu Xie
2009, 2009(Special): 828-837 doi: 10.3934/proc.2009.2009.828 +[Abstract](1132) +[PDF](184.6KB)
Derivation of principal jump conditions for the immersed interface method in two-fluid flow simulation
Sheng Xu
2009, 2009(Special): 838-845 doi: 10.3934/proc.2009.2009.838 +[Abstract](1002) +[PDF](133.6KB)
Exponential attractors for Belousov-Zhabotinskii reaction model
Atsushi Yagi, Koichi Osaki and Tatsunari Sakurai
2009, 2009(Special): 846-856 doi: 10.3934/proc.2009.2009.846 +[Abstract](1199) +[PDF](191.3KB)
Asymptotical dynamics of the modified Schnackenberg equations
Yuncheng You
2009, 2009(Special): 857-868 doi: 10.3934/proc.2009.2009.857 +[Abstract](908) +[PDF](179.0KB)
Pinned repetitions in symbolic flows: preliminary results
Michael Boshernitzan and David Damanik
2009, 2009(Special): 869-878 doi: 10.3934/proc.2009.2009.869 +[Abstract](693) +[PDF](176.0KB)

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