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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Volume 23,Number 1,     January 2018

Special issue on dynamical systems and applications

1

Preface    Pages : i - ii

Urszula Ledzewicz,  Pavel Drábek,  Avner Friedman,  Marek Galewski,  Maria do Rosário de Pinho,  Bogdan Przeradzki and Ewa Schmeidel

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2

Models of the population playing the rock-paper-scissors game    Pages : 1 - 11

Włodzimierz Bąk,  Tadeusz Nadzieja and Mateusz Wróbel

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3

Self-similar solutions of fragmentation equations revisited    Pages : 13 - 27

Weronika Biedrzycka and Marta Tyran-Kamińska

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4

Application of Mountain Pass Theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data    Pages : 29 - 43

Dorota Bors

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5

Dynamical system modeling fermionic limit    Pages : 45 - 55

Dorota Bors and Robert Stańczy

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6

NLS-like equations in bounded domains: Parabolic approximation procedure    Pages : 57 - 77

Alexandre N. Carvalho and Jan W. Cholewa

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7

Optimal control of normalized SIMR models with vaccination and treatment    Pages : 79 - 99

Maria do Rosário de Pinho,  Helmut Maurer and Hasnaa Zidani

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8

Exact asymptotics of positive solutions to Dickman equation    Pages : 101 - 121

Josef Diblík and Rigoberto Medina

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9

Asymptotic properties of delayed matrix exponential functions via Lambert function    Pages : 123 - 144

Josef Diblík and Zdeněk Svoboda

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10

Sensitivity of combined chemo- and antiangiogenic therapy results in different models describing cancer growth    Pages : 145 - 160

Marzena Dolbniak,  Malgorzata Kardynska and Jaroslaw Smieja

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11

Detecting features of epileptogenesis in EEG after TBI using unsupervised diffusion component analysis    Pages : 161 - 172

Dominique Duncan,  Paul Vespa and Arthur W. Toga

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12

A global inversion theorem for functions with singular points    Pages : 173 - 180

Piotr Fijałkowski

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13

Some remarks on the Gottman-Murray model of marital dissolution and time delays    Pages : 181 - 191

Urszula Foryś

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14

Free boundary problems arising in biology    Pages : 193 - 202

Avner Friedman

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15

Multiplicity results for discrete anisotropic equations    Pages : 203 - 218

Marek Galewski,  Shapour Heidarkhani and Amjad Salari

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16

Periodic solutions for nonlinear nonmonotone evolution inclusions    Pages : 219 - 238

Leszek Gasiński and Nikolaos S. Papageorgiou

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17

Qualitative properties of solutions of higher order difference equations with deviating arguments    Pages : 239 - 252

Alina Gleska and Małgorzata Migda

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18

Monotonic solutions of a higher-order neutral difference system    Pages : 253 - 261

Robert Jankowski,  Barbara Łupińska,  Magdalena Nockowska-Rosiak and Ewa Schmeidel

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19

Optimal control problem for a viscoelastic beam and its galerkin approximation    Pages : 263 - 274

Andrzej Just and Zdzislaw Stempień

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20

Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals    Pages : 275 - 281

Igor Kossowski and Katarzyna Szymańska-Dębowska

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21

Arzelà-Ascoli's theorem in uniform spaces    Pages : 283 - 294

Mateusz Krukowski

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22

The Krasnosel'skii formula for parabolic differential inclusions with state constraints    Pages : 295 - 329

Wojciech Kryszewski,  Dorota Gabor and Jakub Siemianowski

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23

Optimal control applied to a generalized Michaelis-Menten model of CML therapy    Pages : 331 - 346

Urszula Ledzewicz and Helen Moore

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24

Optimal control of the discrete-time fractional-order Cucker--Smale model    Pages : 347 - 357

Agnieszka B. Malinowska and Tatiana Odzijewicz

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25

Periodic solutions of a $2$-dimensional system of neutral difference equations    Pages : 359 - 367

Małgorzata Migda,  Ewa Schmeidel and Małgorzata Zdanowicz

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26

Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with $p$-Laplacian    Pages : 369 - 375

Magdalena Nockowska-Rosiak,  Piotr Hachuła and Ewa Schmeidel

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27

Stability of stochastic semigroups and applications to Stein's neuronal model    Pages : 377 - 385

Katarzyna Pichór and Ryszard Rudnicki

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28

Numerical treatment of contact problems with thermal effect    Pages : 387 - 400

Anna Ochal and Michal Jureczka

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29

The role of optimism and pessimism in the dynamics of emotional states    Pages : 401 - 423

Monika Joanna Piotrowska,  Joanna Górecka and Urszula Foryś

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30

Treatment of glioma with virotherapy and TNF-$\alpha$ inhibitors: Analysis as a dynamical system    Pages : 425 - 441

Elzbieta Ratajczyk,  Urszula Ledzewicz,  Maciej Leszczyński and Heinz Schättler

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31

Optimal control of a delayed HIV model    Pages : 443 - 458

Filipe Rodrigues,  Cristiana J. Silva,  Delfim F. M. Torres and Helmut Maurer

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32

Does assortative mating lead to a polymorphic population? A toy model justification    Pages : 459 - 472

Ryszard Rudnicki and Radosław Wieczorek

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33

Solution to a stochastic pursuit model using moment equations    Pages : 473 - 485

Miroslava Růžičková,  Irada Dzhalladova,  Jitka Laitochová and Josef Diblík

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34

On homoclinic solutions for a second order difference equation with $ p-$Laplacian    Pages : 487 - 492

Robert Stegliński

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