Nonexistence of positive solutions for 2pth order integro-differential inequalities

✍ Scribed by R.P. Agarwal; Fu-Hsiang Wong; Shiueh-Ling Yu

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 412 KB
• Volume: 10
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(97)00106-7

✦ Synopsis

In this paper, we shall show that under suitable conditions on f and K, the inequalities -xzp + s cc eXSK(s) ds > 0, forallX>O, (p=O,1,2 ,...) 0 (I,) imply that the integro-differential inequalities (-1)2P+1y(2')(t) + s,' f(t -s, y(s)) ds 5 0, on [O,co), (p=O,1,2 ,..,) (B,) have no positive solutions, respectively.