Multiplicity of periodic solutions for Duffing equations under nonuniform non-resonance conditions

DOI10.1090/S0002-9939-98-04520-1zbMath0894.34034OpenAlexW1505106052MaRDI QIDQ4387042

Chengwen Wang

Publication date: 6 May 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04520-1

zbMATH Keywords

periodic solutionsupper and lower solution methoddegree theoryDuffing equationsnegative asymptotic behaviornonuniform non-resonancepositive asymptotic behavior

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (3)

Duffing equation and action functional ⋮ A nonconvex dissipative system and its applications. I ⋮ The lower bounds of \(T\)-periodic solutions for the forced Duffing equation

Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• On the number of \(2\pi\)-periodic solutions for \(u+g(u)=s(1+h(t))\) using the Poincaré-Birkhoff theorem
• Coincidence degree, and nonlinear differential equations
• T-periodic solutions for some second order differential equations with singularities
• Generalized upper and lower solution method for the forced Duffing equation
• On the periodic BVP for the forced duffing equation with jumping nonlinearity
• Periodic solutions for Duffing equations

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