Existence of nonoscillatory solutions for higher order neutral dynamic equations on time scales

DOI10.1007/S12190-008-0067-YzbMath1161.34037OpenAlexW2076833071MaRDI QIDQ949333

Qiaoluan Li, Wenlei Dong, Haiyan Liang, Zhenguo Zhang

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0067-y

zbMATH Keywords

time scalesdynamic equationnonoscillation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Oscillation theory of functional-differential equations (34K11) Additive difference equations (39A10)

Related Items (5)

Sufficient conditions for the oscillation and asymptotic behaviour of higher-order dynamic equations of neutral type ⋮ Nonoscillatory solutions for higher-order neutral dynamic equations on time scales ⋮ Oscillation criteria of even order delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals ⋮ Unbounded positive solutions for \(m\)-point time-scale boundary value problems on infinite intervals ⋮ Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• Sturmian theory on measure chains
• Oscillation of nonlinear dynamic equations on time scales.
• First and second order linear dynamic equations on time scales
• OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES

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