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Oscillation behavior of even-order nonlinear neutral differential equations with variable coefficients

โœ Scribed by Quanxin Zhang; Jurang Yan; Li Gao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
373 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, some sufficient conditions are obtained for the oscillation of all solutions of even-order nonlinear neutral differential equations with variable coefficients. Our results improve and generalize known results. In particular, the results are new even when n = 2.

๐Ÿ“œ SIMILAR VOLUMES

Oscillations of Higher Order Neutral Dif
Oscillations of Higher Order Neutral Differential Equations with Variable Coefficients
โœ Q. Chuanxi; G. Ladas ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 361 KB

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.

Nonoscillation and Oscillation of First
Nonoscillation and Oscillation of First Order Neutral Equations with Variable Coefficients
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