Necessary and Sufficient Conditions for Oscillations to a Second-Order Neutral Differential Equations with Impulses

DOI10.46793/KgJMat2301.081TOpenAlexW4319865669MaRDI QIDQ5881410

Shyam Sundar Santra, Arun Kumar Tripathy

Publication date: 10 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.46793/kgjmat2301.081t

zbMATH Keywords

impulsesoscillationdelayLebesgue's dominated convergence theoremnon-oscillationneutral

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Oscillation theory of functional-differential equations (34K11)

Related Items (5)

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

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• Sufficient conditions for the oscillation of solutions of first-order neutral delay impulsive differential equations with constant coefficients
• Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients
• The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations
• Nonoscillation of first order impulse differential equations with delay
• On oscillatory first order nonlinear neutral differential equations with nonlinear impulses
• Characterization of a class of second order neutral impulsive systems via pulsatile constant
• Oscillation of the solutions of neutral-impulsive differential-difference equations of first order
• Oscillation of a Linear Delay Impulsive Differential Equation
• About sign-constancy of Green’s functions for impulsive second order delay equations

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