EXISTENCE, UNIQUENESS, AND APPROXIMATION OF SOLUTIONS TO SOME NONLINEAR DIFFUSION-PROBLEMS

Authors
NIETO JJ OKRASINSKI W
Citation
Jj. Nieto et W. Okrasinski, EXISTENCE, UNIQUENESS, AND APPROXIMATION OF SOLUTIONS TO SOME NONLINEAR DIFFUSION-PROBLEMS, Journal of mathematical analysis and applications, 210(1), 1997, pp. 231-240
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
210
Issue
1
Year of publication
1997
Pages
231 - 240
Database
ISI
SICI code
0022-247X(1997)210:1<231:EUAAOS>2.0.ZU;2-U
Abstract
We study the existence and approximation of a nontrivial positive solu tion for a nonlinear ordinary differential equation of second order. T o prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arise s in the study of some nonlinear diffusion problems. (C) 1997 Academic Press.