Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions

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Abstract

In this paper, we consider the existence of solutions for a class of nonlinear impulsive problems with periodic boundary conditions. By using critical point theory, we obtain some existence theorems of infinitely many solutions for the nonlinear impulsive problem when the impulsive functions are superlinear. We extend and improve some recent results.

Keywords

Impulsive differential equations
Critical point theory
Periodic boundary conditions

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Supported by the National Natural Science Foundation of China (No. 10971229).