Differentiation solutions of Lidstone boundary value problems with respectto the boundary data

Authors
Davis, JM
Citation
Jm. Davis, Differentiation solutions of Lidstone boundary value problems with respectto the boundary data, MATH COMP M, 32(5-6), 2000, pp. 675-685
Citations number
28
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
5-6
Year of publication
2000
Pages
675 - 685
Database
ISI
SICI code
0895-7177(200009)32:5-6<675:DSOLBV>2.0.ZU;2-6
Abstract
Solutions of the 2m(th)-order nonlinear differential equation U-(2m) = f(x, u, u',..., u((2m-1))) satisfying Lidstone boundary conditions are differentiated with respect to both boundary points and boundary values. The resulting functions are then shown to be solutions of the corresponding variational equation satisfying specific boundary conditions. (C) 2000 Elsevier Science Ltd. All rights res erved.