Existence problems for homoclinic solutions

Cezar Avramescu

Abstract and Applied Analysis, 2002, vol. 7, 1-27

Abstract:

The problem x ˙ = f ( t , x ) , x ( − ∞ ) = x ( + ∞ ) , where x ( ± ∞ ) : = lim t → ± ∞ x ( t ) ∈ ℝ n , is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:352068

DOI: 10.1155/S108533750200074X

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