Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 126, pp. 1-14.

Title: Existence of solutions to second-order boundary-value problems
       with small perturbations of impulses
        
Authors: Gabriele Bonanno (Univ. of Messina, Italy)
         Beatrice Di Bella (Univ. of Messina, Italy)
         Johnny Henderson (Baylor Univ., Waco, TX, USA}

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.