Almost periodic solutions of second-order systems with monotone fields on a compact subset

✍ Scribed by Philippe Cieutat

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 154 KB
• Volume: 53
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00026-9

✦ Synopsis

We give su cient conditions for the existence of almost periodic solutions of the second-order di erential system: u = F(t; u), when F ∈ C 0 (R × K; R N ) with K is a compact convex subset of R N , and the partial function F(t; :) is monotone for each t ∈ R. For existence, we do not assume that F(t; :) is strictly monotone.