Oscillation of Nonlinear Delay Impulsive Differential Equations and Inequalities

Author: Yan J.

Source: Journal of Mathematical Analysis and Applications, Volume 265, Number 2, January 2002 , pp. 332-342(11)

Publisher: Academic Press

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Abstract:

The oscillatory and asymptotic behavior of first-order nonlinear delay impulsive differential equations and inequalities is studied. Some new sharp sufficient conditions for oscillation and nonoscillation of solutions of the equations and inequalities are obtained. Many known results are improved. In particular, the conditions are necessary and sufficient if the equations and inequalities are autonomous. © 2002 Elsevier Science.

Keywords: oscillation; nonoscillation; delay impulsive equation

Language: English

Document Type: Research article

Affiliations: Department of Mathematics, Shanxi University, Taiyuan, Shanxi, 030006, People's Republic of China:

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