Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations

DOI10.1186/1687-2770-2012-108zbMath1281.34061OpenAlexW2108801711WikidataQ59291174 ScholiaQ59291174MaRDI QIDQ384465

Hai Pu, Jin-Yun Yang

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-108

zbMATH Keywords

\(p\)-Laplacian operatorLeray-Schauder degree theoryanti-periodic solution with symmetryhigh-order ordinary differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Antiperiodic oscillations in a forced Duffing oscillator

Cites Work

• Positive solutions of four-point boundary value problems for higher-order \(p\)-Laplacian operator
• Existence and uniqueness of periodic solutions for a kind of high-order \(p\)-Laplacian Duffing differential equation with sign-changing coefficient ahead of linear term
• The existence of anti-periodic solutions for high order Duffing equation
• Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a \(p\)-Laplacian
• Anti-symmetric periodic solutions for the third order differential systems
• Anti-periodic solutions for forced Rayleigh-type equations
• Multiple positive solutions of four-point nonlinear boundary value problems for a higher-order \(p\)-Laplacian operator with all derivatives
• Anti-periodic oscillations of some second-order differential equations and optimal control problems
• Existence of an anti-periodic solution for the quasilinear wave equation with viscosity
• Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities
• Antiperiodic boundary value problem for first-order impulsive ordinary differential equations
• ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIÉENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR
• Boundary flows in general coset theories
• Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations
• Functional determinants from Wronski Green functions

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