Boundedness of solutions of quasi-periodic \(p\)-Laplacian equations with jumping nonlinearity
DOI10.1007/s10114-022-0625-5OpenAlexW4285083065MaRDI QIDQ2690116
Yaqun Peng, Da-Xiong Piao, Xin-Li Zhang
Publication date: 15 March 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-022-0625-5
Growth and boundedness of solutions to ordinary differential equations (34C11) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamical aspects of twist maps (37E40)
Cites Work
- Unnamed Item
- Boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequency
- Boundedness for second order differential equations with jumping \(p\)-Laplacian and an oscillating term
- Boundedness for the general semilinear Duffing equations via the twist theorem
- Boundedness in nonlinear asymmetric oscillations
- Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term
- Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential
- The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
- Boundedness in nonlinear oscillations at resonance
- Quasi-periodic solutions for an asymmetric oscillation
- Boundedness in nonlinear oscillations
- A stability theorem for minimal foliations on a torus
- A case of boundedness in Littlewood's problem on oscillatory differential equations
- Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
- Invariant curves of quasi-periodic reversible mappings
- Boundedness of Solutions for Quasiperiodic Potentials
- Asymmetric Oscillators and Twist Mappings
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