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

Decreasing and fast solutions for a second-order difference equation related to Fisher–Kolmogorov's equation,10.1016/j.jmaa.2009.08.009,Journal of Mat

Decreasing and fast solutions for a second-order difference equation related to Fisher–Kolmogorov's equation   (Citations: 2)
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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.
Journal: Journal of Mathematical Analysis and Applications - J MATH ANAL APPL , vol. 363, no. 1, pp. 97-110, 2010
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