Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations

Ravi P. Agarwal, Leonid Berezansky, Elena Braverman and Alexander Domoshnitsky
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Ravi P. Agarwal: Texas A&M University—Kingsville, Department of Mathematics
Leonid Berezansky: Ben-Gurion University of the Negev, Department of Mathematics
Elena Braverman: University of Calgary, Department of Mathematics
Alexander Domoshnitsky: Ariel University Center of Samaria, Department of Computer Sciences and Mathematics

Chapter Chapter 14 in Nonoscillation Theory of Functional Differential Equations with Applications, 2012, pp 319-337 from Springer

Abstract: Abstract 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.

Keywords: Linearized Oscillation Theory; Delay Logistic Equation; Impulsive Model; Explicit Oscillation; Sharp System (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-3455-9_14

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DOI: 10.1007/978-1-4614-3455-9_14

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