Fei Xia
Abstract:
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.
Submitted August 11, 2016. Published March 30, 2017.
Math Subject Classifications: 34C37, 37J45, 39A12, 47J22.
Key Words: Homoclinic solutions; nonlinear difference equations;
Jacobi operators; critical point theory.
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Fei Xia Swan College Central South University of Forestry and Technology Changsha 410004, China email: xiafeiznlkd@163.com |
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