Existence and uniqueness of periodic solutions for a class of generalized Liénard systems with forcing term

DOI10.1016/j.cam.2008.06.006zbMath1170.34326OpenAlexW2028272093MaRDI QIDQ1002218

Jianying Shao, Jinglei Zhou, Qiyuan Zhou

Publication date: 25 February 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.06.006

zbMATH Keywords

periodic solutionsLienard systems

Mathematics Subject Classification ID

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

Related Items (2)

Homoclinic solutions for a forced generalized Liénard system ⋮ EXTENSION OF CHICONE'S METHOD FOR PERTURBATION SYSTEMS OF THREE PARAMETERS WITH APPLICATION TO THE LIENARD SYSTEM

Cites Work

• Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation
• Stability and periodic solutions of ordinary and functional differential equations
• Coincidence degree, and nonlinear differential equations
• The existence of \(2\pi\)-periodic solutions for Duffing equation \(\ddot x + g(x(t - \tau ))=p(t)\) with delay
• Periodic solutions of forced Liénard-type equations
• Periodic solutions for Liénard type \(p\)-Laplacian equation with a deviating argument
• Uniqueness of limit cycles in liénard-type equations
• On Non-Linear Differential Equations of the Second Order with Integrable Forcing Term^†
• Boundedness and convergence of solutions of a second-order nonlinear differential system
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