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Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations

In: Nonoscillation Theory of Functional Differential Equations with Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ravi P. Agarwal & Leonid Berezansky & Elena Braverman & Alexander Domoshnitsky, 2012. "Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations," Springer Books, in: Nonoscillation Theory of Functional Differential Equations with Applications, edition 127, chapter 0, pages 319-337, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-3455-9_14
    DOI: 10.1007/978-1-4614-3455-9_14
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