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Existence and asymptotic behavior of positive solutions of higher-order quasilinear ordinary differential equations

✍ Scribed by Manabu Naito

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
216 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

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. Basic results to a classical ordinary differential equation are generalized. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Positive solutions of a higher order neu
Positive solutions of a higher order neutral differential equation
✍ John R. Graef; Chuanxi Qian; Bo Yang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 120 KB

## Abstract In this paper, we consider the higher order neutral delay differential equation where __p__ : [0, ∞) β†’ (0, ∞) is a continuous function, __r__ > 0 and __Οƒ__ > 0 are constants, and __n__ > 0 is an odd integer. A positive solution __x__(__t__) of Eq. (\*) is called a Class–I solution if _