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
Oscillation and stability of nonlinear neutral impulsive delay differential equations
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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