Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators

We obtain sufficient conditions for the existence of a nontrivial homoclinic solution to a second-order nonlinear difference equation with Jacobi operator. To do this, we use variational methods and critical point theory. An example is provided to illustrate our main result.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2017; no. 94; pp. 1 - 11
Main Author Fei Xia
Format Journal Article
LanguageEnglish
Published Texas State University 30.03.2017
Subjects
critical point theory
Homoclinic solutions
Jacobi operators
nonlinear difference equations
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Summary:We obtain sufficient conditions for the existence of a nontrivial homoclinic solution to a second-order nonlinear difference equation with Jacobi operator. To do this, we use variational methods and critical point theory. An example is provided to illustrate our main result.
ISSN:1072-6691