Title
Quadratic convergence of approximate solutions of two-point boundary value problems with impulse
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
Volume
1
Peer Reviewed
yes
eCommons Citation
Doddaballapur, Vidya; Eloe, Paul W.; and Zhang, Yongzhi, "Quadratic convergence of approximate solutions of two-point boundary value problems with impulse" (1998). Mathematics Faculty Publications. 95.
https://ecommons.udayton.edu/mth_fac_pub/95
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.