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Oscillation criteria for first-order impulsive differential equations with positive and negative coefficients

✍ Scribed by Jianhua Shen; Ziran Zou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
156 KB
Volume
217
Category
Article
ISSN
0377-0427

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✦ Synopsis

Some sufficient conditions are obtained for oscillation of all solutions of the first-order impulsive differential equation with positive and negative coefficients

Our results improve the known results in the literature.

πŸ“œ SIMILAR VOLUMES

Oscillation Criteria for First Order Neu
Oscillation Criteria for First Order Neutral Differential Equations with Positive and Negative Coefficients
✍ Xiaosheng Zhang; Jurang Yan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

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

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✍ Hassan A. El-Morshedy πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 520 KB

The oscillation of second order neutral difference equations with positive and negative coefficients of the form is investigated. We obtain many new results using the comparison between both first order and second order difference equations. An example is given to show the strength of the obtained