Periodic solutions for a fourth-order \(p\)-Laplacian neutral functional differential equation

DOI10.1016/j.jfranklin.2010.04.014zbMath1207.34090OpenAlexW2040168781WikidataQ115346467 ScholiaQ115346467MaRDI QIDQ609781

Yanling Zhu, Kai Wang

Publication date: 1 December 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.04.014

zbMATH Keywords

periodic solutiondeviating argument\(p\)-LaplacianMawhin's continuation theoremneutral functional differential equation

Mathematics Subject Classification ID

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

Related Items (7)

EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LI&#201;NARD TYPE <i>P</i> -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER ⋮ Solvability and dependence on a parameter of a fourth-order periodic boundary value problem ⋮ Study on a kind of fourth-order \(p\)-Laplacian Rayleigh equation with linear autonomous difference operator ⋮ Positive periodic solutions for \(p\)-Laplacian neutral differential equations with a singularity ⋮ Periodic solutions for a \(p\)-Laplacian-like NFDE system ⋮ STUDY ON A KIND OF <inline-formula><tex-math id="M505">$P$</tex-math></inline-formula>-LAPLACIAN NEUTRAL DIFFERENTIAL EQUATION WITH MULTIPLE VARIABLE COEFFICIENTS ⋮ Existence of positive periodic solutions of fourth-order singular p-Laplacian neutral functional differential equations

Cites Work

• On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
• Periodic solutions for \(p\)-Laplacian neutral functional differential equation with deviating arguments
• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Periodic solutions for \(p\)-Laplacian neutral Rayleigh equation with a deviating argument
• Periodic solutions for a fourth-order \(p\)-Laplacian differential equation with a deviating argument
• Existence of periodic solutions for a Liénard type \(p\)-Laplacian differential equation with a deviating argument
• Periodic solutions for a higher order \(p\)-Laplacian neutral functional differential equation with a deviating argument
• Coincidence degree, and nonlinear differential equations
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions to neutral differential equations with deviating arguments
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• Periodic solutions for \(p\)-Laplacian neutral functional differential equation with multiple deviating arguments
• Periodic solutions for Rayleigh type \(p\)-Laplacian equation with deviating arguments
• New results of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation
• Periodic solutions for Liénard type \(p\)-Laplacian equation with a deviating argument
• Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument
• Periodic solutions for a fourth-order Rayleigh type \(p\)-Laplacian delay equation
• Nonuniform nonresonance at the first eigenvalue of the p-laplacian

This page was built for publication: Periodic solutions for a fourth-order \(p\)-Laplacian neutral functional differential equation