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
Oscillation for Nonlinear Delay Differential Equations with Impulses
โ Scribed by Jiaowan Luo
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 70 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
Conditions for the oscillation of the solutions of nonlinear impulsive delay ลฝ differential equations are found. The results given by D. D.
๐ SIMILAR VOLUMES
Some new results on oscillation and nonoscillation for delay differential equations with impulses are established. A counterexample is given which shows that a known oscillation criterion is incorrect.
Almost sharp oscillation and nonoscillation criteria are obtained for the firstorder nonlinear delay differential equation where m j=1 ฮฑ j > 1. Some applications are given.
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