Periodic solutions for higher order differential equations with deviating argument

DOI10.1016/j.jmaa.2008.01.096zbMath1160.34065OpenAlexW2095227074MaRDI QIDQ924227

Lijun Pan

Publication date: 15 May 2008

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.2008.01.096

zbMATH Keywords

periodic solutiondeviating argumentcoincidence degreehigher order differential equations

Mathematics Subject Classification ID

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

Related Items (8)

Positive periodic solution for higher-order \(p\)-Laplacian neutral singular Rayleigh equation with variable coefficient ⋮ Study of solutions to some functional differential equations with piecewise constant arguments ⋮ Periodic solutions for a higher-order p-Laplacian neutral differential equation with multiple deviating arguments ⋮ Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Periodic solutions for a class of \(n\)-th order functional differential equations ⋮ Periodic solutions for generalized high-order neutral differential equation in the critical case ⋮ Unnamed Item

Cites Work

• Periodic solutions for nonlinear \(n\)th order ordinary differential equations
• Periodic solutions for a kind of Liénard equation with a deviating argument.
• On periodic solutions to systems of differential equations with deviating arguments
• Existence of periodic solutions of \((2n+1)\)th-order ordinary differential equations.
• A priori bounds for periodic solutions of a delay Rayleigh equation
• Periodic solutions of the Liénard equation with one-sided growth restrictions
• Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments
• On periodic solutions of certain \(n\)th order differential equations
• Existence and uniqueness of periodic solutions for \((2n+1)\)th-order differential equations
• Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument
• An extension of a theorem of A. C. Lazer on forced nonlinear oscillations
• Periodic solutions of higher-order delay differential equations
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Periodic solutions for 2kth order ordinary differential equations with nonresonance
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