Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation

DOI10.1016/j.nonrwa.2007.01.013zbMath1167.34344OpenAlexW2078571180MaRDI QIDQ933566

Ya Li, Fu Xing Zhang

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.01.013

zbMATH Keywords

periodic solutions\(p\)-LaplacianDuffing equationcontinuation theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (20)

ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION FOR RAYLEIGH TYPE p-LAPLACIAN EQUATION ⋮ On the existence of periodic solutions for Liénard type \(\phi\)-Laplacian equation ⋮ 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 ⋮ Existence and uniqueness of periodic solutions for a kind of Liénard type \(p\)-Laplacian equation ⋮ NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN ⋮ RETRACTED: Some results for periodic solutions of a kind of Liénard equation ⋮ New results of periodic solutions for forced Rayleigh-type equations ⋮ New results of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation ⋮ Existence of periodic solutions for \(p\)-Laplacian equations on time scales ⋮ Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation ⋮ Uniqueness of periodic solution for a class of Liénard \(p\)-Laplacian equations ⋮ Existence and uniqueness of anti-periodic solution for a kind of forced Rayleigh equation with state dependent delay and impulses ⋮ Existence of periodic solutions for \(p\)-Laplacian equation without growth restrictions ⋮ Periodic solutions for a Liénard type \(p\)-Laplacian differential equation ⋮ Existence and uniqueness of periodic solutions for a class of generalized Liénard systems with forcing term ⋮ Existence and uniqueness of periodic solutions for forced Rayleigh-type equations ⋮ On the existence of a unique periodic solution to a Liénard type \(p\)-Laplacian non-autonomous equation ⋮ Anti-periodic solutions for forced Rayleigh-type equations ⋮ Periodic solutions for a kind of Duffing type \(p\)-Laplacian equation ⋮ Existence and uniqueness of periodic solutions for forced Liénard-type equations

Cites Work

• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• A priori bounds for periodic solutions of a delay Rayleigh equation
• Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
• On existence of periodic solutions of the Rayleigh equation of retarded type
• Periodic solutions for Rayleigh type \(p\)-Laplacian equation with deviating arguments
• Unnamed Item

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