Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations

DOI10.1155/2011/635767zbMath1209.34085OpenAlexW2083869579WikidataQ59253584 ScholiaQ59253584MaRDI QIDQ610843

Zhibo Cheng, Jingli Ren, Wing-Sum Cheung

Publication date: 13 December 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232169

zbMATH Keywords

stabilityexistenceperiodic solutionsneutral differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (3)

Positive periodic solution for higher-order \(p\)-Laplacian neutral singular Rayleigh equation with variable coefficient ⋮ Some results for high-order generalized neutral differential equation ⋮ On positive periodic solutions of linear second order functional differential equations

Cites Work

• Periodic solutions for \(p\)-Laplacian neutral functional differential equation with deviating arguments
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• Three periodic solutions of nonlinear neutral functional differential equations
• Periodic solutions for \(p\)-Laplacian neutral Rayleigh equation with a deviating argument
• Periodic solutions for generalized high-order neutral differential equation in the critical case
• Coincidence degree, and nonlinear differential equations
• Theory of functional differential equations. 2nd ed
• On the existence of periodic solutions for neutral functional differential equation.
• Periodic solutions of linear and quasilinear neutral functional differential equations
• Periodic solutions to neutral differential equations with deviating arguments
• Periodic solutions for a kind of second order neutral functional differential equations
• Stability, Instability and Chaos
• Nonuniform nonresonance at the first eigenvalue of the p-laplacian
• Existence of periodic solutions for a \(p\)-Laplacian neutral functional differential equation

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