Necessary and sufficient conditions for oscillations of delay equations with impulses

Applied Mathematics Letters

Volumn 10, Issue 1, 1997, Pages 23-29

  Zhao, Aimin ^a   Yan, Jurang ^a  

^a SHANXI UNIVERSITY   (China)

Author keywords

Characteristic equation; Delay differential equation; Impulse; Oscillation

Indexed keywords

EID: 0042632638     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(96)00105-X     Document Type: Article

References (6)

1. O. Arino, I. Györi and A. Jawhari, Oscillation criteria in delay equation, J. Diff. Equas. 53, 115-123 (1984).
2. I. Györi and G. Ladas, Osculation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, (1991).
3. i(t)) oscillate, J. Diff. Equas. 53, 139-145 (1984).
4. V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, (1989).
5. M.-P. Chen, J.S. Yu and J.H. Shen, The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations, Computers Math. Applic. 27 (8), 1-6 (1994).
6. K. Gopalsamy and B.G. Zhang, On delay differential equations with impulses, J. Math. Anal. Appl. 139, 110-122 (1989).