Periodic solutions for \(p\)-Laplacian neutral functional differential equation with deviating arguments

DOI10.1016/j.jmaa.2005.10.084zbMath1120.34066OpenAlexW2351118668WikidataQ115346297 ScholiaQ115346297MaRDI QIDQ854056

Yanling Zhu, Shiping Lu

Publication date: 7 December 2006

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.2005.10.084

zbMATH Keywords

theory of coincidence degree

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13)

Related Items (14)

New approach for the existence and uniqueness of periodic solutions to \(p\)-Laplacian prescribed mean curvature equations ⋮ Antiperiodic solutions for a generalized high-order \((p, q)\)-Laplacian neutral differential system with delays in the critical case ⋮ Periodic solutions for a fourth-order \(p\)-Laplacian neutral functional differential equation ⋮ Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations ⋮ PERIODIC SOLUTIONS FOR A TYPE OF NEUTRAL SYSTEM WITH VARIABLE PARAMETERS ⋮ Existence of periodic solutions for \(p\)-Laplacian neutral Rayleigh equation ⋮ Periodic solutions for \(p\)-Laplacian neutral differential equation with multiple delay and variable coefficients ⋮ Periodic solutions for \(p\)-Laplacian neutral Rayleigh equation with a deviating argument ⋮ Positive periodic solutions for \(p\)-Laplacian neutral differential equations with a singularity ⋮ Periodic solutions for a kind of Duffing type \(p\)-Laplacian neutral equation ⋮ On the existence of periodic solutions to a \(p\)-Laplacian neutral differential equation in the critical case ⋮ Periodic solutions for a higher order \(p\)-Laplacian neutral functional differential equation with a deviating argument ⋮ A new method for the existence of periodic solution to a \(p\)-Laplacian Liénard equation ⋮ Periodic solution for \(\phi\)-Laplacian neutral differential equation

Cites Work

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• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions for a kind of Liénard equation with a deviating argument.
• Periodic solutions to neutral differential equations with deviating arguments
• Existence of periodic solutions for a kind of second-order neutral functional differential equation
• Time-maps for the solvability of periodically perturbed nonlinear duffing equations
• Coincidence degree and periodic solutions of Duffing equations
• Multiple Solutions for the p-Laplacian Under Global Nonresonance

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