Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales

DOI10.1186/s13662-021-03529-zzbMath1494.34196OpenAlexW3190604706MaRDI QIDQ2167123

Yang-Cong Qiu

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03529-z

zbMATH Keywords

nonoscillatory solutiontime scaleneutral dynamic equation

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Dynamic equations on time scales or measure chains (34N05)

Cites Work

• Nonoscillatory solutions to third-order neutral dynamic equations on time scales
• Existence of nonoscillatory solutions to second-order nonlinear neutral dynamic equations on time scales
• Asymptotic behavior of fourth-order neutral dynamic equations with noncanonical operators
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Necessary and sufficient conditions on asymptotic behaviour of solutions of forced neutral delay dynamic equations
• Existence of nonoscillatory solutions to second-order neutral delay dynamic equations on time scales
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• Dynamic equations on time scales: A survey
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• Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales
• Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations
• Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales
• Nonoscillatory solutions to higher-order nonlinear neutral dynamic equations
• Existence of nonoscillatory solutions to neutral dynamic equations on time scales
• Existence of nonoscillatory solutions to nonlinear third-order neutral dynamic equations on time scales
• Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales
• Necessary and sufficient conditions on the asymptotic behavior of second‐order neutral delay dynamic equations with positive and negative coefficients
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