Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators
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Date
2017-03-30
Authors
Xia, Fei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Homoclinic solutions, Nonlinear difference equations, Jacobi operators, Critical point theory
Citation
Xia, F. (2017). Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators. <i>Electronic Journal of Differential Equations, 2017</i>(94), pp. 1-11.
Rights
Attribution 4.0 International