In this article we study second-order impulsive differential equations with Dirichlet boundary conditions, depending on two real parameters. We show that an appropriate growth condition of the nonlinear term, under small perturbations of impulsive terms, ensures the existence of three solutions. The approach is based on variational methods.
Existence of solutions to second-order boundary-value problem with small perturbations of impulses
BONANNO, Gabriele;DI BELLA, Beatrice;
2013-01-01
Abstract
In this article we study second-order impulsive differential equations with Dirichlet boundary conditions, depending on two real parameters. We show that an appropriate growth condition of the nonlinear term, under small perturbations of impulsive terms, ensures the existence of three solutions. The approach is based on variational methods.File in questo prodotto:
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