Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations

107Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

We consider a class of first-order impulsive functional differential equations, where the functional dependence is not necessarily a Lipschitzian function. The new maximum principle improves and extends previous results and uniqueness of solution between a lower and an upper solution for a particular nonlinear problem is presented. We give conditions for existence of extremal solutions in an interval delimited by a lower and an upper solution. © 2005 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Nieto, J. J., & Rodríguez-López, R. (2006). Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations. Journal of Mathematical Analysis and Applications, 318(2), 593–610. https://doi.org/10.1016/j.jmaa.2005.06.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free