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Continuous dependence and differentiation of solutions of finite difference equations

Authors :
Johnny Henderson
Linda Lee
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 4, Pp 747-756 (1991)
Publication Year :
1991
Publisher :
Hindawi Limited, 1991.

Abstract

Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m+n)=f(m,u(m),u(m+1),…,u(m+n−1)),m∈ℤ.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
14
Issue :
4
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.395093e5632a41a180d9e574087adda4
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171291001011