Heteroclinic solutions of a second-order difference equation related to the Fisher-Kolmogorov鈥檚 equation

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• 作者：Alberto Cabada^a ; ¹ ; ^{alberto.cabada@usc.es} ; Diko Souroujon^b ; Stepan Tersian^c ; ^{sterzian@uni-ruse.bg}
• 关键词：Heteroclinic solutions ; Initial value problem ; Difference equations ; Fisher&ndash ; Kolmogorov&rsquo ; s equation
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：15 May, 2012
• 卷：218
• 期：18
• 页码：9442-9450
• 文件大小：235 K

摘要

We study the existence of heteroclinic solutions for semilinear second-order difference equations related to the Fisher-Kolmogorov鈥檚 equation. The proof of the presented results are based on monotonicity and continuity arguments.