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Oscillation of Nonlinear Delay Impulsive Differential Equations and Inequalities
Authors:Jurang Yan
Institution:Department of Mathematics, Shanxi University, Taiyuan, Shanxi, 030006, People's Republic of China
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.
Keywords:oscillation  nonoscillation  delay impulsive equation
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