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Linearized Oscillations for Differential Equations of Neutral Type

✍ Scribed by Jianhua Shen

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
321 KB
Volume
176
Category
Article
ISSN
0025-584X

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✦ Synopsis

Consider the nonlinear neutral delay differential equation

with P(t), Q ( t ) continuous, T > 0, a 2 0. We obtain new suflicient conditions for the oscillation of all solutions by an associate linear equation, and thereby establish some new criteria as proposed in an earlier open problem.

') Research is supported by the NNSF of China.

πŸ“œ SIMILAR VOLUMES

A Linearized Oscillation Result for Neut
A Linearized Oscillation Result for Neutral Delay Differential Equations
✍ Jianshe Yu; Zhicheng Wang πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 235 KB

## Abstract We consider the first order nonlinear neutral delay differential equation equation image and establish a linearized oscillation result of Eq. (1) when __P(t)__ β‰₯ 1, which answers partially an open problem proposed by GYΓ–RI and LADAS.

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Sufficient conditions are established for the oscillations of systems of hyperbolic differential equations of the form 2 d Ε½ . . where ⍀ is a bounded domain in R n with a piecewise smooth boundary Ρ¨ ⍀, and ⌬ is the Laplacian in Euclidean n-space R n .

Oscillation of Impulsive Neutral Delay D
Oscillation of Impulsive Neutral Delay Differential Equations
✍ 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