Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales

DOI10.1016/j.jmaa.2014.10.061zbMath1309.34121OpenAlexW2048328135MaRDI QIDQ472374

Mary Hill, John R. Graef

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.061

zbMATH Keywords

time scalesdifferential equationsnonoscillationdynamic equationshigher orderBihari inequality

Mathematics Subject Classification ID

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

Related Items (3)

Nonoscillatory solutions for first-order neutral dynamic equations with continuously distributed delay on time scales ⋮ New oscillation criteria of special type second-order non-linear dynamic equations on time scales ⋮ Nonoscillation for higher-order nonlinear delay dynamic equations on time scales

Cites Work

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• Nonoscillation of higher order functional differential equations
• On the nonoscillation of perturbed functional differential equations
• A historical note on Sturmian theory
• Forced oscillations in general ordinary differential equations with deviating arguments
• Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order
• Oscillation theorems for second-order functional differential equations
• A correction to forced oscillations in general ordinary differential equations with deviating arguments
• Several integral inequalities and their applications in nonlinear differential systems
• On second-order non-linear oscillations
• Generalizations of Gronwall–Bihari inequalities on time scales
• Some Oscillation and Asymptotic Properties for Linear Differential Equations
• Correction to: Some Oscillation and Asymptotic Properties for Linear Differential Equations
• A Lyapunov inequality and forced oscillations in general nonlinear nth order differential-difference equations
• Asymptotic Behaviour of Solutions of Functional n -th Order Differential Equations†
• Some nonlinear dynamic inequalities on time scales
• Non-Oscillation Theorems

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