Abstract
In this paper, oscillation and stability of nonlinear neutral impulsive delay differential equation are studied. The main result of this paper is that oscillation and stability of nonlinear impulsive neutral delay differential equation are equivalent to oscillation and stability of corresponding nonimpulsive neutral delay differential equations. At last, two examples are given to illustrate the importance of this study.
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This work is supported by NNSF of China (No. 19831030)
Yongrui duan received her master's degree from Shanxi University and is now studying in Shanghai Jiao Tong University for Ph. D. Her research interests focus on Functional differential equation, Optimization and Cybernetics.
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Duan, Y., Tian, P. & Zhang, S. Oscillation and stability of nonlinear neutral impulsive delay differential equations. JAMC 11, 243–253 (2003). https://doi.org/10.1007/BF02935734
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DOI: https://doi.org/10.1007/BF02935734