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EnglishDifference equations, the discrete analogs of differential equations, occur in numerous settings and formulations, both in mathematics itself and, in its form of p-Laplacian, in statistics, computing, electrical circuit analysis, dynamical systems, economics, biology and other fields. The aim of this paper is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. The approach is based on variational methods.
| Titolo: | EXISTENCE AND MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR A DIFFERENCE EQUATION ON THE INTEGERS |
| Autori: | |
| Data di pubblicazione: | Being printed |
| Rivista: | |
| Abstract: | Difference equations, the discrete analogs of differential equations, occur in numerous settings and formulations, both in mathematics itself and, in its form of p-Laplacian, in statistics, computing, electrical circuit analysis, dynamical systems, economics, biology and other fields. The aim of this paper is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. The approach is based on variational methods. |
| Handle: | http://hdl.handle.net/11570/3149666 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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