Necessary and sufficient conditions for oscillation of a class of second order impulsive systems

DOI10.1007/s12591-018-0425-7OpenAlexW2799541626MaRDI QIDQ2121658

Shyam Sundar Santra, Arun Kumar Tripathy

Publication date: 4 April 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-018-0425-7

zbMATH Keywords

oscillationdelayLebesgue's dominated convergence theoremnonoscillationBanach's fixed point theoremneutralnon-linear

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items

First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior ⋮ Second-order impulsive differential systems with mixed and several delays ⋮ On nonlinear impulsive differential systems with canonical and non-canonical operators ⋮ Second‐order impulsive differential systems with mixed delays: Oscillation theorems ⋮ Second-order impulsive differential systems of mixed type: oscillation theorems

Cites Work

• Existence and continuability of solutions for differential equations with delays and state-dependent impulses
• Oscillation for a second-order neutral differential equation with impulses
• Differential systems involving impulses
• Impulsive state feedback control of a predator-prey model
• Asymptotic behavior of solutions for nonlinear delay differential equation with impulses
• Dynamical behaviors of a prey-predator system with impulsive control
• Oscillation of a class of second-order nonlinear ODE with impulses.
• Oscillation of a class of second-order delay differential equation with impulses.
• Oscillation of second order quasilinear delay differential equations with impulses
• Oscillation properties of a second-order impulsive delay differential equation
• Oscillation of impulsive neutral delay differential equations
• Orbital stability of the periodic solutions of autonomous systems with impulse effect
• On oscillatory first order nonlinear neutral differential equations with nonlinear impulses
• Oscillation by impulses for a second-order delay differential equation
• Oscillation of second order linear differential equations with impulses
• Characterization of a class of second order neutral impulsive systems via pulsatile constant
• On the behavior of solutions of a first order nonlinear neutral delay differential equation
• Oscillation of sub- and superlinear impulsive differential equations with constant delay
• Oscillation of second order nonlinear impulsive differential equations with deviating arguments
• About sign-constancy of Green’s functions for impulsive second order delay equations
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