Abstract
In this paper, we use variational methods to investigate the solutions of impulsive differential equations with Sturm-Liouville boundary conditions. The conditions for the existence and multiplicity of solutions are established. The main results are also demonstrated with examples.
Highlights
1 Introduction Impulsive differential equations arising from the real world describe the dynamics of a process in which sudden, discontinuous jumps occur
A great deal of work has been done in the theory of impulsive differential equations [ – ]
Many researchers have used variational methods to study the existence of solutions for boundary value problems [ – ]
Summary
Impulsive differential equations arising from the real world describe the dynamics of a process in which sudden, discontinuous jumps occur. We consider the following second-order impulsive differential equations with Sturm-Liouville boundary conditions: Many researchers have used variational methods to study the existence of solutions for boundary value problems [ – ].
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