Abstract
In this paper, we study the existence of classical solutions for a second-order impulsive differential equation with non-separated periodic boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution under some different conditions. Our results extend and improve some recent results.
Highlights
Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process
The mathematical description of these phenomena leads to the impulsive differential equations
In the last few years, a great deal of work has been done in the study of the existence of solutions for impulsive boundary value problems
Summary
Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. In the last few years, a great deal of work has been done in the study of the existence of solutions for impulsive boundary value problems. We are concerned with the existence of solutions for the following boundary value problem (BVP) with impulses: C) is called a non-separated periodic boundary value condition for
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