Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
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Publication:1306863
DOI10.1006/jmaa.1999.6472zbMath0977.34036OpenAlexW1988090980MaRDI QIDQ1306863
Publication date: 5 December 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6472
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of twist maps (37E40)
Related Items (7)
Existence and multiplicity of periodic solutions of the second order Liénard equation with Lipschtzian condition ⋮ A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance ⋮ Bounded and unbounded motions in asymmetric oscillators at resonance ⋮ Existence of periodic solutions for second-order Duffing equations with \(p\)-Laplacian-like operators ⋮ Periodic solutions for Duffing equations with a \(p\)-Laplacian-like operator ⋮ Infinitely many periodic solutions of Duffing equations under integral condition ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance
Cites Work
- Semilinear Duffing equations crossing resonance points
- Existence and multiplicity results for periodic solutions of semilinear Duffing equations
- A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
- Time-maps for the solvability of periodically perturbed nonlinear duffing equations
- Periodic solutions of the second order differential equations with Lipschitzian condition
- An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
- A Generalization of the Poincare-Birkhoff Theorem
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