Variational approach to instantaneous and noninstantaneous impulsive system of differential equations

Abstract

Abstract In this paper, the existence and multiplicity of solutions for a coupled system of differential equations with instantaneous and noninstantaneous impulses are studied. By the virtue of variational methods, some new existence theorems of solutions are obtained. In addition, two examples are given to demonstrate our main results.

Keywords

• Differential equation
• Instantaneous impulse
• Noninstantaneous impulse
• Variational methods