Topological methods for some boundary value problems

Authors
Thompson, HB
Citation
Hb. Thompson, Topological methods for some boundary value problems, COMPUT MATH, 42(3-5), 2001, pp. 487-495
Citations number
15
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
42
Issue
3-5
Year of publication
2001
Pages
487 - 495
Database
ISI
SICI code
0898-1221(200108/09)42:3-5<487:TMFSBV>2.0.ZU;2-Q
Abstract
We establish existence of solutions for a finite difference approximation t o y " = f(x, y, y ') on [0, 1], subject to nonlinear two-point Sturm-Liouvi lle boundary conditions of the form g(i)(y(i),y ' (i)) = 0, i = 0, 1, assum ing S satisfies one-sided growth bounds with respect to y '. (C) 2001 Elsev ier Science Ltd. All rights reserved.