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 solution
Positive solutions of integro-differential inequalities
β Scribed by R.P. Agarwal; Fu-Hsiang Wong; Shiueh-Ling Yu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 366 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We establish the necessary conditions for existence of positive solutions to elliptic and evolution partial differential inequalities and their systems with singularities at the origin, at the boundary, or on subsets of different dimension. Our basic tool is the nonlinear capacity metho
## Abstract Using a degreeβtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__βperiodic solutions of a Volterra equation, then there is a __T__βperiodic solution. The __a priori__ bound is established by means of a L