Non-resonance and double resonance for a planar system via rotation numbers
From MaRDI portal
Publication:2038840
DOI10.1007/s00025-021-01401-wzbMath1472.34079OpenAlexW3153388811MaRDI QIDQ2038840
Chunlian Liu, Pedro J. Torres, Qian, Dingbian
Publication date: 7 July 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-021-01401-w
Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Nonautonomous smooth dynamical systems (37C60)
Related Items
Cites Work
- Double resonance for one-sided superlinear or singular nonlinearities
- Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem
- Periodic solutions of asymptotically positively homogeneous differential equations
- Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations
- A general method for the existence of periodic solutions of differential systems in the plane
- Existence and multiplicity results for periodic solutions of semilinear Duffing equations
- Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
- Periodic solutions of second order equations via rotation numbers
- Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers
- The rotation number approach to the periodic Fučik spectrum
- Rotation numbers, eigenvalues, and the Poincaré--Birkhoff theorem
- Double resonance in Sturm-Liouville planar boundary value problems
- On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs
- Multiplicity results for asymptotically linear equations, using the rotation number approach
- Bounded perturbations of forced harmonic oscillators at resonance
- Resonance Pockets of Hill's Equations with Two-Step Potentials
- A note on nonlinear oscillations at resonance
- Continuation Theorems for Periodic Perturbations of Autonomous Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item