Extinction and non-extinction of solutions for a nonlocal reaction-diffusion problem.
Liu, Wenjun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liu, Wenjun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wu, Bin (2008)
Journal of Inequalities and Applications [electronic only]
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Ján Filo (1989)
Commentationes Mathematicae Universitatis Carolinae
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J. Goncerzewicz, N. Okrasinski (1994)
Extracta Mathematicae
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Shoshana Kamin, Philip Rosenau (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study the behaviour of the solutions of the Cauchy problem and prove that if initial data decay fast enough at infinity then the solution of the Cauchy problem approaches the travelling wave solution spreading either to the right or to the left, or two travelling waves moving in opposite directions. Certain generalizations are also mentioned.
Chen, Botao, Mi, Yongsheng, Mu, Chunlai (2011)
Boundary Value Problems [electronic only]
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Karachalios, Nikos, Stavrakakis, Nikos, Xanthopoulos, Pavlos (2003)
Abstract and Applied Analysis
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