Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance
From MaRDI portal
Publication:425975
DOI10.1016/j.nonrwa.2011.10.006zbMath1239.34041OpenAlexW2052737753MaRDI QIDQ425975
Fangfang Jiang, Yanting Zeng, Shen, Jianhua
Publication date: 10 June 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.10.006
Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37)
Related Items
Boundedness of solutions for some impulsive pendulum-type equations ⋮ An application of Moser's twist theorem to superlinear impulsive differential equations ⋮ Periodic solutions of semilinear Duffing equations with impulsive effects ⋮ Existence and uniqueness of periodic solution to second‐order impulsive differential equations ⋮ Periodic solutions of discontinuous Duffing equations ⋮ Unnamed Item ⋮ Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance ⋮ Lagrange stability for impulsive pendulum-type equations ⋮ Lagrange stability for impulsive Duffing equations ⋮ Applications of the Moser's twist theorem to some impulsive differential equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and multiplicity results for periodic solutions of semilinear Duffing equations
- Impulsive periodic boundary value problems of first-order differential equations
- Stability analysis for systems with impulse effects
- Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays
- Resonance problem for a class of Duffing's equations
- Periodic solutions of Duffing's equations with superquadratic potential
- The existence of the second fixed point: A correction to Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
- Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
- On pulse vaccination strategy in the SIR epidemic model with vertical transmission
- On Poincaré's perturbation theorem and a theorem of W. S. Loud
- Bounded perturbations of forced harmonic oscillators at resonance
- On the simultaneous presence of unilateral and kinetic constraints in time-dependent impulsive mechanics
- Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities
- Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
- An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
- Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
- A Generalization of the Poincare-Birkhoff Theorem
- Necessary and sufficient conditions for optimal impulsive rendezvous with linear equations of motion
This page was built for publication: Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance