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Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
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D. D. Bainov
Published/Copyright:
June 4, 2010
Abstract
The impulsive equation with retarded argument
x′(t) + a(t)x(t) + p(t)x(t – τ) = 0, t ≠ tk,
Δx(tk) + akx(tk) + pkx(tk – τ) = 0,
is considered, where the function p(t) and the sequence {pk} are not of constant sign. Sufficient conditions are found for oscillation of all solutions to the equation under consideration.
Received: 1997-06-05
Revised: 1997-11-04
Published Online: 2010-06-04
Published in Print: 1998-June
© Heldermann Verlag
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Keywords for this article
Impulsive differential equations;
oscillatory properties;
retarded argument
Articles in the same Issue
- The Lifting Problem with the Full Ideal
- Contrasting Symmetric Porosity and Porosity
- Some Additive Darboux–Like Functions
- New Existence Theorems for Solutions of Generalized Quasi–Variational Inequalities
- Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
- Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities
- Selfgravitating Electrodynamic Stability of a Fluid-Tar Annular Jet Pervaded by Periodic Time Dependet Electric Field
- The Cauchy Problem for the Einstein–Vlasov System
- The Cauchy Problem for the Einstein–Boltzmann System
