Document Type

Conference Paper

Publication Date

1998

Publication Source

Proceedings of the Third Mississippi State Conference on Difference Equations and Computational Simulations (Mississippi State University, 1997); Electronic Journal of Differential Equations

Abstract

The method of quasilinearization, coupled with the method of upper and lower solutions, is applied to a boundary value problem for an ordinary differential equation with impulse that has a unique solution. The method generates sequences of approximate solutions which converge monotonically and quadratically to the unique solution. In this work, we allow nonlinear terms with respect to velocity; in particular, Nagumo conditions are employed.

Inclusive pages

81-95

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

1

Volume

1

Peer Reviewed

yes


Included in

Mathematics Commons

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