Xia, Fei2022-04-082022-04-082017-03-30Xia, F. (2017). Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators. <i>Electronic Journal of Differential Equations, 2017</i>(94), pp. 1-11.1072-6691https://hdl.handle.net/10877/15626We 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalHomoclinic solutionsNonlinear difference equationsJacobi operatorsCritical point theoryArticle