Necessary and sufficient conditions for oscillations of delay equations with impulses

DOI10.1016/S0893-9659(96)00105-XzbMath0889.34060OpenAlexW2004968732MaRDI QIDQ1370420

Aimin Zhao, Jurang Yan

Publication date: 26 October 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(96)00105-x

zbMATH Keywords

impulsesoscillationfirst-order delay differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Oscillation theory of functional-differential equations (34K11)

Related Items (7)

Interval oscillation criteria for nonlinear impulsive delay differential equations with damping term ⋮ A survey on oscillation of impulsive delay differential equations ⋮ Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments ⋮ Interval oscillation criteria of second order mixed nonlinear impulsive differential equations with delay ⋮ Interval oscillation criteria for super-half-linear impulsive differential equations with delay ⋮ Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument ⋮ Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays

Cites Work

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• Oscillation criteria in delay equations
• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• On delay differential equations with impulses
• The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations

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