Article
Quadratic convergence of approximate solutions of two-point boundary value problems with impulse
Proceedings of the Third Mississippi State Conference on Difference Equations and Computational Simulations (Mississippi State University, 1997); Electronic Journal of Differential Equations
Document Type
Conference Paper
Publication Date
1-1-1998
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
Peer Reviewed
Yes
Disciplines
Citation Information
Vidya Doddaballapur, Paul W. Eloe and Yongzhi Zhang. "Quadratic convergence of approximate solutions of two-point boundary value problems with impulse" Proceedings of the Third Mississippi State Conference on Difference Equations and Computational Simulations (Mississippi State University, 1997); Electronic Journal of Differential Equations Vol. 1 (1998) Available at: http://works.bepress.com/paul_eloe/111/
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.