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Oscillation criteria for first-order neutral differential equations

โœ Scribed by Qi-Ru Wang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
530 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This

paper discusses a class of first-order neutral differential equations with variable coefficients and variable deviations. A series of sufficient conditions are established for all solutions of the equations to be oscillatory, and some of the conditions are sharp.

๐Ÿ“œ SIMILAR VOLUMES

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.

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โœ Kaizhong Guan; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 523 KB

In this paper, we are concerned with the oscillation of a first-order impulsive neutral differential equation of Euler form with variable delays. Our results reveal the fact that the oscillatory behavior of all solutions of differential equations without impulses can be inherited by impulsive differ