Existence and uniqueness of periodic solutions for a class of nonlinear n -th order differential equations with delays

✍ Scribed by Bingwen Liu

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 126 KB
• Volume: 282
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200610756

✦ Synopsis

Abstract

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T ‐periodic solutions for a class of nonlinear n ‐th order differential equations with delays of the form

x^(n)^(t) + f (x^(n‐ 1)^(t)) + g (t, x (t ‐ τ (t))) = p (t).