On oscillation of a second order impulsive linear delay differential equation

DOI10.1006/jmaa.1999.6297zbMath0926.34054OpenAlexW2008646741WikidataQ115395387 ScholiaQ115395387MaRDI QIDQ1289053

Elena Braverman, Leonid Berezansky

Publication date: 11 November 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f60e5e4ebd53a4b9cd781dadf26e5275e8d8e3ce

zbMATH Keywords

oscillation theorydifferential inequalitynonoscillationcomparison theorypositivenessgeneralized Riccati inequalityimpulsive delay equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Oscillation theory of functional-differential equations (34K11)

Related Items (23)

Impulsive hybrid interval-valued functional integro-differential equations ⋮ Interval oscillation criteria for nonlinear impulsive delay differential equations with damping term ⋮ Oscillations of higher order nonlinear functional differential equations with impulses ⋮ Oscillation and asymptotic stability behavior of a third order linear impulsive equation ⋮ Oscillation and asymptotic behavior of odd-order delay differential equations with impulses ⋮ A survey on oscillation of impulsive delay differential equations ⋮ Existence of Periodic Solutions of a Type of Nonlinear Impulsive Delay Differential Equations with a Small Parameter ⋮ Oscillations of second order impulses nonlinear FDE with forcing term ⋮ Oscillatory and asymptotic behavior of solutions for nonlinear impulsive delay differential equations ⋮ Interval oscillation criteria of second order mixed nonlinear impulsive differential equations with delay ⋮ Oscillation and other properties of linear impulsive and nonimpulsive delay equations ⋮ Oscillation properties of a second-order impulsive delay differential equation ⋮ Sharp estimation for the solutions of delay differential and Halanay type inequalities ⋮ On oscillation of a generalized logistic equation with several delays ⋮ Oscillation caused by impulses ⋮ Interval oscillation criteria for super-half-linear impulsive differential equations with delay ⋮ Nonoscillation of second-order dynamic equations with several delays ⋮ On oscillation of equations with distributed delay ⋮ Oscillation properties of a logistic equation with several delays ⋮ Complex dynamics and hidden attractors in delayed impulsive systems ⋮ Existence of eventually positive solutions of higher order impulsive delay differential equations ⋮ Preservation of nonoscillatory behavior of solutions to second-order delay differential equations under impulsive perturbations ⋮ Oscillations of even order half-linear impulsive delay differential equations with damping

Cites Work

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• Oscillation theorems for second-order functional differential equations
• On delay differential equations with impulses
• Some oscillation problems for a second-order linear delay differential equation
• Nonoscillation of first order impulse differential equations with delay
• Oscillation criteria for impulsive delay differential equations
• Positive solutions and asymptotic behavior of delay differential equations with nonlinear impulses
• On the oscillation properties of first-order impulsive differential equations with a deviating argument
• Existence of positive solutions for delay differential equations with impulses
• Sturmian comparison theory for impulsive differential inequalities and equations
• Oscillation of a second-order delay differential equation with middle term
• Oscillation of a Linear Delay Impulsive Differential Equation

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