The lower bounds of \(T\)-periodic solutions for the forced Duffing equation
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Publication:5945105
DOI10.1006/jmaa.2001.7474zbMath0988.34032OpenAlexW2005694660MaRDI QIDQ5945105
Publication date: 26 June 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2001.7474
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (5)
Qualitative properties of a Duffing system with polynomial nonlinearity ⋮ Numerical solutions of Duffing equations involving both integral and non-integral forcing terms ⋮ Periodic solutions of discontinuous Duffing equations ⋮ Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space ⋮ A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms
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
- A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
- Multiplicity results for four-point boundary value problems
- T-periodic solutions for some second order differential equations with singularities
- Generalized upper and lower solution method for the forced Duffing equation
- Multiplicity of periodic solutions for Duffing equations under nonuniform non-resonance conditions
- A Generalization of the Poincare-Birkhoff Theorem
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