Decreasing and fast solutions for a second-order difference equation related to Fisher–Kolmogorov's equation

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• 作者：Meline Aprahamian ; Diko Souroujon ; Stepan Tersian
• 关键词：Fast solutions ; Difference equations ; Minimization theorem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2010
• 出版时间：1 March 2010
• 年：2010
• 卷：363
• 期：1
• 页码：97-110
• 全文大小：280 K

文摘

We prove the existence of so-called fast solutions of a second-order difference equation related to traveling wave solutions of Fisher–Kolmogorov's equation. Variational approach is used and the fast solutions are obtained as minimizers of an energy functional on a weighted Hilbert space. Numerical experiments are presented.