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Constant sign solutions for parameter-dependent superlinear second-order difference equations |
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| Authors: | Pasquale Candito Giuseppina D'Aguì Donal O'Regan |
| Institution: | 1. Department DICEAM, University of Reggio Calabria, Via Graziella (Feo Di Vito), 89122 Reggio Calabria, Italypasquale.candito@unirc.it;3. Department of Civil, Computer, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166 Messina, Italy;4. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | This paper studies the existence of constant sign solutions for a second-order parameter-dependent super linear difference equation. The approach is based on variational methods on finite dimensional Banach spaces. |
| Keywords: | constant sign solutions nonlinear second-order difference equations critical point theory superlinear nonlinearities discrete maximum principle |