Gabriele Bonanno, Beatrice Di Bella, Johnny Henderson
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.
Submitted April 4, 2013. Published May 21, 2013.
Math Subject Classifications: 34B37, 34B15, 58E05.
Key Words: Dirichlet boundary condition; impulsive effects; variational methods;
critical points.
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Gabriele Bonanno Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics University of Messina, 98166 - Messina, Italy email: bonanno@unime.it |
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Beatrice Di Bella Department of Mathematics and Computer Science University of Messina, 98166 - Messina, Italy email: bdibella@unime.it |
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Johnny Henderson Department of Mathematics, Baylor University Waco, TX 76798-7328, USA email: Johnny_Henderson@baylor.edu |
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