## Abstract The existence of nonβextreme positive solutions of __n__ thβorder quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of nonβextreme positive solutions are established for a certain class of equations. B
A note on the existence and asymptotic behavior of nonoscillatory solutions of fourth order quasilinear differential equations
β Scribed by Manabu Naito; Fentao Wu
- Book ID
- 111570700
- Publisher
- Akadmiai Kiad
- Year
- 2004
- Tongue
- English
- Weight
- 291 KB
- Volume
- 102
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
The fourth-order quasilinear di erential equation is considered under the assumptions that ΒΏ 0, ΓΏ ΒΏ 0 and q(t) is a positive continuous function on an interval [a; β), a ΒΏ 0, and the necessary and su cient integral conditions for the existence of eventually positive solutions of (1.1) are establish
In this paper, we improve the Sturm comparison theorem and two nonoscillation criteria of LEIGHTON and WINTNER, and establish two variants of a WINTNER'S nonoscillatory criterion of the second order linear differential equation where r, c : [to,co) -+ IR, T > 0 a.e. on [to,m) and f , c E L 1 ( t o