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Oscillation and stability of nonlinear neutral impulsive delay differential equations

โœ Scribed by Yong Duan; Peng Tian; Shunian Zhang


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
181 KB
Volume
11
Category
Article
ISSN
1598-5865

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๐Ÿ“œ SIMILAR VOLUMES


Oscillation of Impulsive Neutral Delay D
โœ J.R. Graef; J.H. Shen; I.P. Stavroulakis ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. \* and \* \* may be caused by the impulsive perturb

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The main result of this paper is to show oscillations of nonlinear impulsive delay differential equations are equivalent to those of corresponding linear impulsive delay differential equations. The results of this paper generalize some well-known results in the literature.

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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. I