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Oscillation of a Class of Higher Order Neutral Differential Equations

✍ Scribed by Bo Yang; B. G. Zhang


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
339 KB
Volume
193
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES


Oscillations of Higher Order Neutral Dif
✍ Q. Chuanxi; G. Ladas πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 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.

Oscillation and Existence of Positive So
✍ X.H. Tang; J.H. Shen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 214 KB

Consider the higher order neutral differential equation x t y x t y q Ε½ . Ε½ . Ε½ . Q t x t y s 0, t G t with Q t continuous, ) 0, G 0, and n odd. We 0 establish several new sufficient conditions for the oscillation of all solutions and the existence of a positive solution by an associated ordinary di

Positive solutions of a higher order neu
✍ 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 _

Oscillation of Impulsive Neutral Delay D
✍ J.R. Graef; J.H. Shen; I.P. Stavroulakis πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 167 KB

In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. \* and \* \* may be caused by the impulsive perturb