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Existence problems for homoclinic solutions

Cezar Avramescu

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

Abstract: The problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞) : = limt→±∞x(t) ∈ ℝn, 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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https://doi.org/10.1155/S108533750200074X

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