Nonoscillatory solutions to third-order neutral dynamic equations on time scales

DOI10.1186/1687-1847-2014-309zbMath1347.34138OpenAlexW2099033476WikidataQ59323555 ScholiaQ59323555MaRDI QIDQ307358

Yang-Cong Qiu

Publication date: 1 September 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-309

zbMATH Keywords

time scalesnonoscillatory solutionsKranoselskii's fixed point theoremthird-order neutral dynamic equations

Mathematics Subject Classification ID

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

Related Items (13)

Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations ⋮ Oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales ⋮ Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales ⋮ Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms ⋮ Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales ⋮ Bounded nonoscillatory solutions of a system of dynamic equations with neutral term on time scales ⋮ The asymptotic behavior and oscillation for a class of third-order nonlinear delay dynamic equations ⋮ Existence of nonoscillatory solutions to higher-order nonlinear neutral dynamic equations on time scales ⋮ Existence of nonoscillatory solutions to nonlinear third-order neutral dynamic equations on time scales ⋮ On nonoscillatory solutions tending to zero of third-order nonlinear dynamic equations on time scales ⋮ Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales ⋮ Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales ⋮ Nonoscillatory solutions to higher-order nonlinear neutral dynamic equations

Cites Work

• Existence of nonoscillatory solutions to second-order nonlinear neutral dynamic equations on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• Dynamic equations on time scales: A survey
• Existence of nonoscillatory solutions to neutral dynamic equations on time scales
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