Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
From MaRDI portal
Publication:5423948
DOI10.1090/S0002-9939-07-09024-7zbMath1166.34313arXivmath/0703818OpenAlexW1984829375MaRDI QIDQ5423948
Publication date: 1 November 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703818
Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)
Related Items (9)
An optimal class of non-degenerate potentials for second-order ordinary differential equations ⋮ Exact multiplicity of solutions for discrete second order Neumann boundary value problems ⋮ Minimization of eigenvalues and construction of non-degenerate potentials for the one-dimensional \(p\)-Laplacian ⋮ Exact multiplicity and stability of solutions of second-order Neumann boundary value problem ⋮ A non-autonomous kind of Duffing equation ⋮ A note on the periodic orbits of a kind of Duffing equations ⋮ Reversed S-shaped bifurcation curve for a Neumann problem ⋮ Sobolev inequality and the exact multiplicity of solutions and positive solutions to a second-order Neumann boundary value problem ⋮ Existence of periodic solutions for a class of second order ordinary differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of two periodic solutions for the periodic equation \(\ddot x=g(t,x)\)
- Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
- Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems
- On the number of solutions for the forced pendulum equation
- Exact multiplicity for periodic solutions of Duffing type.
- Periodic solutions of the forced pendulum: Exchange of stability and bifurcations
- On periodic solutions of forced pendulum-like equations
- Exact multiplicity for periodic solutions of a first-order differential equation
- Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions.
- A result of Ambrosetti-Prodi type for first-order ODEs with cubic nonlinearities. I.
- On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
- A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
- Global cusp maps in differential and integral equations
- Existence of asymptotically stable periodic solutions of a forced equation of Lienard type
- A monotone iterative scheme for a nonlinear second order equation based on a generalized anti–maximum principle
- Boundedness and global asymptotic stability of a forced oscillator
- Optimal Intervals of Stability of a Forced Oscillator
- Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
This page was built for publication: Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
