Abstract
We are concerned with the nonlinear second-order impulsive periodic boundary value problem , , , , , , new criteria are established based on Schaefer's fixed-point theorem.
Highlights
Impulsive differential equations, which arise in physics, population dynamics, economics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1,2,3,4,5] and the references therein
Inspired by [21, 24, 25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic boundary value conditions problem: u (t) = f t, u(t), u (t), t ∈ [0, T], t = t1, u t1+ = u t1− + I u t1, u t1+ = u t1− + J u t1, u(0) = u(T), u (0) = u (T), (1.2)
For clarity and brevity, we restrict our attention to Boundary value problems (BVPs) with one impulse
Summary
Impulsive differential equations, which arise in physics, population dynamics, economics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1,2,3,4,5] and the references therein. Boundary value problems (BVPs) for impulsive differential equations and impulsive difference equations [16,17,18,19,20] have received special attention from many authors in recent years. Inspired by [21, 24, 25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic boundary value conditions problem:. The difference between the theory of one or an arbitrary finite number of impulses is quite minimal. Our results extend those of [25] from the nonimpulsive case to the impulsive case.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
