A boundary value problem for a system of ordinary differential equations with impulse effects

Author(s)

Paul W. Eloe, University of DaytonFollow
Johnny Henderson, Baylor University

Document Type

Article

Publication Date

1997

Publication Source

The Rocky Mountain Journal of Mathematics

Abstract

A two-point boundary value problem for a system of first-order ordinary differential equations with impulse effects is studied. The method of upper and lower solutions is employed to obtain the existence of a solution and a method of forced monotonicity is employed to obtain iterative improvement. The main result is illustrated with an application to the Liénard equation with periodic boundary conditions.

Inclusive pages

785-799

ISBN/ISSN

0035-7596

Document Version

Published Version

Comments

This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.

Volume

27

Issue

3

Peer Reviewed

yes

eCommons Citation

Eloe, Paul W. and Henderson, Johnny, "A boundary value problem for a system of ordinary differential equations with impulse effects" (1997). Mathematics Faculty Publications. 121.
https://ecommons.udayton.edu/mth_fac_pub/121