## Abstract The existence of nonโextreme positive solutions of __n__ thโorder quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of nonโextreme positive solutions are established for a certain class of equations. B
Positive Solutions of Higher Order Ordinary Differential Equations with General Nonlinearities
โ Scribed by Manabu Naito; Kimihiko Yano
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 141 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne
## Abstract In this paper, we consider the higher order neutral delay differential equation where __p__ : [0, โ) โ (0, โ) is a continuous function, __r__ > 0 and __ฯ__ > 0 are constants, and __n__ > 0 is an odd integer. A positive solution __x__(__t__) of Eq. (\*) is called a ClassโI solution if _