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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Published in | Electronic journal of differential equations Vol. 2017; no. 94; pp. 1 - 11 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Texas State University
30.03.2017
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1072-6691 |