Necessary and sufficient conditions on the asymptotic behavior of second‐order neutral delay dynamic equations with positive and negative coefficients

DOI10.1002/mma.2884zbMath1294.34084OpenAlexW2070396177MaRDI QIDQ5420205

Başak Karpuz

Publication date: 11 June 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2884

zbMATH Keywords

asymptotic behavioroscillationtime scalesnonoscillationpositive and negative coefficientssecond-order nonlinear dynamic equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales ⋮ Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales ⋮ Oscillation criteria for second order nonlinear delay dynamic equations on time scales ⋮ Asymptotic behavior of second-order nonlinear neutral dynamic equations ⋮ Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations ⋮ Oscillation of nonlinear neutral dynamic equations on time scales ⋮ Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients ⋮ Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales

Cites Work

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• Oscillation criteria for second order differential equations with positive and negative coefficients
• Necessary and sufficient conditions on asymptotic behaviour of solutions of forced neutral delay dynamic equations
• Necessary conditions for the solutions of second order nonlinear neutral delay difference equations to be oscillatory or tend to zero
• New oscillation criteria for second order linear difference equations with positive and negative coefficients
• Oscillation criteria for a class of second-order neutral delay differential equations
• Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations
• Existence of a nonoscillatory solution to a second-order linear neutral delay equation
• Basic calculus on time scales and some of its applications
• Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients
• Oscillation of second order delay differential equations
• Existence of nonoscillatory solutions to neutral dynamic equations on time scales
• Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients
• Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients

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