Nonlinear discrete systems with global boundary conditions

✍ Scribed by Jesús Rodriguez

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 191 KB
• Volume: 286
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00536-5

✦ Synopsis

This paper is devoted to the study of boundary value problems on infinite time intervals for nonlinear, discrete-time systems. For problems of the form

we analyze how perturbations in h and y affect the existence of l ∞ -solutions of this problem. In this setting, h is an element of l ∞ and y belongs to R p . We also study the existence and behavior of bounded solutions to problems of the form

We place particular importance on the behavior of the solutions as a function of the parameter λ.