๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonoscillation and Oscillation of First Order Neutral Equations with Variable Coefficients

โœ Scribed by W.D. Lu

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
314 KB
Volume
181
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 "sharp" in the sense that when all the coefficients and delay arguments of the equations are constants, the conditions become both necessary and sufficient. 1994 Academic Press, Inc.

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.

Oscillation of Systems of Neutral Equati
Oscillation of Systems of Neutral Equations with Variable Coefficients
โœ D. A. Georgiou; C. Qian ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 369 KB

## Abstract Consider the system of the neutral delay differential equations (1) \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{d}{{dt}}\left[{Y\left(t \right) - R\left(T \right)Y\left({T - \varrho } \right)} \right] + P\left(t \right)Y\left({t - \tau } \right) - Q\left(t \right)Y\l

Oscillation Criteria for First Order Neu
Oscillation Criteria for First Order Neutral Differential Equations with Positive and Negative Coefficients
โœ Xiaosheng Zhang; Jurang Yan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

t ## ลฝ . , โฆ g R , G โฆ , are obtained where R t q H Q u du y 1 is allowed to x ฯฑ w ลฝ . ลฝ oscillate and the condition H s P s y Q s y q โฆ H P u y Q u y q t s 0 .x โฆ du ds s ฯฑ is not necessary. Some examples are given, which show that the results here are almost sharp.