Infinitely many solutions for anisotropic discrete boundary value problems of Kirchhoff type. (English) Zbl 1454.39004
Summary: This paper establishes several criteria for the existence of infinitely many solutions to an anisotropic discrete boundary value problem of \(p(k)\)-Kirchhoff type in a \(T\)-dimensional Hilbert space. The approach is based on the critical point theory. Some recent results are extended and improved. An example is included to show the applicability of the theorems.
MSC:
39A05 | General theory of difference equations |
39A10 | Additive difference equations |
39A70 | Difference operators |
46E39 | Sobolev (and similar kinds of) spaces of functions of discrete variables |