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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| Format: | Article |
| Language: | English |
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Texas State University
2017-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/94/abstr.html |