Doubly periodic traveling waves in a cellular neural network with linear reaction.
Lin, Jian Jhong, Cheng, Sui Sun (2009)
Advances in Difference Equations [electronic only]
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Lin, Jian Jhong, Cheng, Sui Sun (2009)
Advances in Difference Equations [electronic only]
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Aizicovici, Sergiu, Gao, Yun, Wen, Shih-Liang (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Jones, Kenneth L., Chen, Yunkai (1999)
International Journal of Mathematics and Mathematical Sciences
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Zhou, Jiangbo, Tian, Lixin, Fan, Xinghua (2009)
Mathematical Problems in Engineering
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Bates, Peter, Chen, Fengxin (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Orlando Lopes (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the existence of minimizer for certain constrained variational problems given by functionals with nonlocal terms. This type of functionals are first integrals of evolution equations describing long wave propagation and the existence of minimizer gives the existence and the stability of traveling waves for these equations. Due to loss of compactness, the major problem is to prevent dichotomy of minimizing sequences. Our approach is an alternative to the concentration-compactness...
Massimiliano Berti, Michela Procesi (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced, nonlinear wave equations with periodic spatial boundary conditions is established. We consider both the cases the forcing frequency is (Case A) a rational number and (Case B) an irrational number.
Pavel Krejci (1986)
Mathematische Zeitschrift
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Ling, Rina (1987)
International Journal of Mathematics and Mathematical Sciences
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