Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation

2021/03/30 by Wangjin Yao, Liping Dong, Yao, Wangjin +3
Mathematics · #Differential Equations and Numerical Methods #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.2103.16114

13 pages

arxiv created 2021/03/30 · arxiv updated 2021/03/31

Abstract

In this paper, we study the existence of solutions for second-order non-instantaneous impulsive differential equations with a perturbation term. By variational approach, we obtain the problem has at least one solution under assumptions that the nonlinearities are super-quadratic at infinity, and sub-quadratic at the origin.

Related

• Variational approach to second-order impulsive dynamic equations on time scales
• Periodic solutions of sublinear impulsive differential equations
• A fixed point approach for finding approximate solutions to second order non-instantaneous impulsive abstract differential equations
• Positive Solutions for Second Order Impulsive Differential Equations with Integral Boundary Conditions on an Infinite Interval
• Some sufficient conditions on impulsive and initial value fractional order functional differential equations