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A note on the existence and asymptotic behavior of nonoscillatory solutions of fourth order quasilinear differential equations

✍ 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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πŸ“œ SIMILAR VOLUMES


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✍ Manabu Naito πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 216 KB

## Abstract The existence of non‐extreme positive solutions of __n__ th‐order quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of non‐extreme positive solutions are established for a certain class of equations. B

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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