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Superlinear discrete problems
Affiliation:1. Department of Civil, Computer, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166 - Messina, Italy;2. Department of Mathematics, West University of Timişoara, 4, Blvd. V. Pârvan 300223 - Timişoara, Romania
Abstract:The aim of this paper is to present an existence result of two positive solutions for a nonlinear difference problem by variational methods. The conclusion is achieved by assuming, together with the super-linearity at infinity, a suitable algebraic condition on the nonlinear term, which is more general than the sub-linearity at zero.
Keywords:Difference equations  Multiplicity results  Variational methods
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