Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations
- 840 Downloads
Chapter 14 is devoted to nonoscillation and oscillation problems for nonlinear impulsive delay differential equations. Impulses provide an adequate description of sharp system changes when the time of the change is negligible when compared to the process dynamics. The main approach to study these problems is the linearized oscillation theory which was introduced and justified in Chap. 10. Using linearized results, explicit oscillation and nonoscillation conditions are obtained for impulsive models of population dynamics, such as the delay logistic equation and the generalized Lasota-Wazewska equation.
KeywordsLinearized Oscillation Theory Delay Logistic Equation Impulsive Model Explicit Oscillation Sharp System
- 154.Erbe, L.H., Kong, Q., Zhang, B.G.: Oscillation Theory for Functional Differential Equations. Dekker, New York (1995) Google Scholar
- 167.Gopalsamy, K.: Stability and Oscillation in Delay Differential Equations of Population Dynamics. Kluwer Academic, Dordrecht, Boston, London (1992) Google Scholar
- 192.Győri, I., Ladas, G.: Oscillation Theory of Delay Differential Equations with Applications. Clarendon Press, New York (1991) Google Scholar
- 248.Ladde, G.S., Lakshmikantham, V., Zhang, B.G.: Oscillation Theory of Differential Equations with Deviating Arguments. Dekker, New York (1987) Google Scholar