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Oscillations of Higher Order Neutral Differential Equations with Variable Coefficients

โœ Scribed by Q. Chuanxi; G. Ladas

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
361 KB
Volume
150
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

We obtain suffiaient conditions for the oscillation of all solutions of the higher order neutral differential equation

-[?At) + P(t) YO -.)I + a t ) Y(t -0 ) = 0, t h to where Our results extend and improve several known results in the literature.

๐Ÿ“œ SIMILAR VOLUMES

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Oscillations of Delay Differential Equations with Variable Coefficients
โœ Xianhua Tang; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

Consider the delay differential equation xะˆ t q p t x t y s 0, where p t g ลฝw . q . C t ,ฯฑ , R and is a positive constant. We obtain a sharp sufficient condition 0 for the oscillation of this equation, which improves previously known results.

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โœ W.D. Lu ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

The purpose of this paper is to study nonoscillations and oscillations of first order neutral equations with variable coefficients. We obtain several new existence theorems of nonoscillatory solutions and a sufficient condition for all solutions of such equations to oscillate. Our conditions are "sh