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

Volume 17,Number 6,     September 2012

Special issue
dedicated to professor Avner Friedman on his 80th birthday

1

Preface    Pages : i - iii

Bo Guan,  Jong-Shenq Guo,  Bei Hu,  Urszula Ledzewicz,  Yuan Lou and Fernando Reitich

 Abstract       Full Text      Related Articles

2

The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems    Pages : 1605 - 1638

Maria Aguareles,  Marco A. Fontelos and Juan J. Velázquez

 Abstract       References       Full Text      Related Articles

3

On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data    Pages : 1639 - 1649

Matthieu Alfaro and Hiroshi Matano

 Abstract       References       Full Text      Related Articles

4

A class of optimization problems in radiotherapy dosimetry planning    Pages : 1651 - 1672

Juan Carlos López Alfonso,  Giuseppe Buttazzo,  Bosco García-Archilla,  Miguel A. Herrero and Luis Núñez

 Abstract       References       Full Text      Related Articles

5

Stabilization of a reaction-diffusion system modelling malaria transmission    Pages : 1673 - 1684

Sebastian Aniţa and Vincenzo Capasso

 Abstract       References       Full Text      Related Articles

6

Self-similar focusing in porous media: An explicit calculation    Pages : 1685 - 1691

D. G. Aronson

 Abstract       References       Full Text      Related Articles

7

The quasiconvex envelope through first-order partial differential equations which characterize quasiconvexity of nonsmooth functions    Pages : 1693 - 1706

Emmanuel N. Barron,  Rafal Goebel and Robert R. Jensen

 Abstract       References       Full Text      Related Articles

8

Analysis and stability of bent-core liquid crystal fibers    Pages : 1707 - 1728

Patricia Bauman and Daniel Phillips

 Abstract       References       Full Text            Related Articles

9

Existence and compactness for weak solutions to Bellman systems with critical growth    Pages : 1729 - 1750

Alain Bensoussan,  Miroslav Bulíček and Jens Frehse

 Abstract       References       Full Text      Related Articles

10

Regularity of the free boundary for the American put option    Pages : 1751 - 1759

Xinfu Chen and Huibin Cheng

 Abstract       References       Full Text      Related Articles

11

Dead-core rates for the porous medium equation with a strong absorption    Pages : 1761 - 1774

Xinfu Chen,  Jong-Shenq Guo and Bei Hu

 Abstract       References       Full Text      Related Articles

12

Slow manifold reduction of a stochastic chemical reaction: Exploring Keizer's paradox    Pages : 1775 - 1794

Parker Childs and James P. Keener

 Abstract       References       Full Text      Related Articles

13

Interactions of point vortices in the Zabusky-McWilliams model with a background flow    Pages : 1795 - 1807

Colm Connaughton and John R. Ockendon

 Abstract       References       Full Text      Related Articles

14

Equity valuation under stock dilution and buy-back    Pages : 1809 - 1829

Yaling Cui and Srdjan D. Stojanovic

 Abstract       References       Full Text      Related Articles

15

Optimal treated mosquito bed nets and insecticides for eradication of malaria in Missira    Pages : 1831 - 1840

Bassidy Dembele and Abdul-Aziz Yakubu

 Abstract       References       Full Text      Related Articles

16

On the local behavior of non-negative solutions to a logarithmically singular equation    Pages : 1841 - 1858

Emmanuele DiBenedetto,  Ugo Gianazza and Naian Liao

 Abstract       References       Full Text      Related Articles

17

Infinite dimensional relaxation oscillation in aggregation-growth systems    Pages : 1859 - 1887

Shin-Ichiro Ei,  Hirofumi Izuhara and Masayasu Mimura

 Abstract       References       Full Text      Related Articles

18

Error estimates for a bar code reconstruction method    Pages : 1889 - 1902

Selim Esedoḡlu and Fadil Santosa

 Abstract       References       Full Text      Related Articles

19

Modeling high flux hollow fibers dialyzers    Pages : 1903 - 1937

Antonio Fasano and Angiolo Farina

 Abstract       References       Full Text      Related Articles

20

On the structure of double layers in Poisson-Boltzmann equation    Pages : 1939 - 1967

Marco A. Fontelos and Lucía B. Gamboa

 Abstract       References       Full Text      Related Articles

21

Gap junctions and excitation patterns in continuum models of islets    Pages : 1969 - 1990

Pranay Goel and James Sneyd

 Abstract       References       Full Text      Related Articles

22

A Monge-Ampère type fully nonlinear equation on Hermitian manifolds    Pages : 1991 - 1999

Bo Guan and Qun Li

 Abstract       References       Full Text      Related Articles

23

A fully non-linear PDE problem from pricing CDS with counterparty risk    Pages : 2001 - 2016

Bei Hu,  Lishang Jiang,  Jin Liang and Wei Wei

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24

The regularized implied local volatility equations -A new model to recover the volatility of underlying asset from observed market option price    Pages : 2017 - 2046

Lishang Jiang and Baojun Bian

 Abstract       References       Full Text      Related Articles

25

Evolution of mixed dispersal in periodic environments    Pages : 2047 - 2072

Chiu-Yen Kao,  Yuan Lou and Wenxian Shen

 Abstract       References       Full Text      Related Articles

26

Some $L_{p}$-estimates for elliptic and parabolic operators with measurable coefficients    Pages : 2073 - 2090

N. V. Krylov

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27

A discrete dynamical system arising in molecular biology    Pages : 2091 - 2151

Howard A. Levine,  Yeon-Jung Seo and Marit Nilsen-Hamilton

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28

Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks    Pages : 2153 - 2170

Casian Pantea,  Heinz Koeppl and Gheorghe Craciun

 Abstract       References       Full Text      Related Articles

29

Dynamics of a two-receptor binding model: How affinities and capacities translate into long and short time behaviour and physiological corollaries    Pages : 2171 - 2184

Lambertus A. Peletier,  Willem de Winter and An Vermeulen

 Abstract       References       Full Text      Related Articles

30

Dynamics of bone cell signaling and PTH treatments of osteoporosis    Pages : 2185 - 2200

David S. Ross,  Christina Battista,  Antonio Cabal and Khamir Mehta

 Abstract       References       Full Text      Related Articles

31

Lyapunov-Schmidt reduction for optimal control problems    Pages : 2201 - 2223

Heinz Schättler and Urszula Ledzewicz

 Abstract       References       Full Text      Related Articles

32

Convex spacelike hypersurfaces of constant curvature in de Sitter space    Pages : 2225 - 2242

Joel Spruck and Ling Xiao

 Abstract       References       Full Text      Related Articles

33

Spreading speeds and traveling waves for non-cooperative integro-difference systems    Pages : 2243 - 2266

Haiyan Wang and Carlos Castillo-Chavez

 Abstract       References       Full Text            Related Articles

34

On sufficient conditions for a linearly determinate spreading speed    Pages : 2267 - 2280

Hans Weinberger

 Abstract       References       Full Text      Related Articles

35

Optimal control of integrodifference equations with growth-harvesting-dispersal order    Pages : 2281 - 2298

Peng Zhong and Suzanne Lenhart

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