On Perturbed Discrete Boundary Value Problems

• Published in: Journal of difference equations and applications Vol. 8; no. 5; pp. 447 - 466
• Main Authors: Etheridge, Debra L., Rodriguez, Jesu´s
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.05.2002
• Subjects: Boundary Value Problems; Difference Equations; Implicit Function Theorem; Resonance
• ISSN: 1023-6198; 1563-5120
• DOI: 10.1080/10236190290017432

In this paper, we study nonlinear discrete boundary value problems of the form x ( t +1)= A ( t ) x ( t )+ h ( t )+ k f ( t , x ( t ), k ) subject to Bx (0)+ Dx ( J )= u + k g ( x (0), x ( J ), k ) where k is a "small" parameter. Our main concern is the case of resonance, that is, the situ...