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  1. No Access

    Article

    Quasi-periodic Solutions for Completely Resonant Quintic Beam Equations

    This paper concerns the existence of quasi-periodic solutions for completely resonant quintic beam equations on one-dimensional tori. A novel Birkhoff normal form is developed to reformulate the problem into a...

    Qi Li, Yixian Gao, Yong Li in Journal of Dynamics and Differential Equations (2023)

  2. No Access

    Article

    Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing

    We consider a model of nonlinear wave equations with periodically varying wave speed and periodic external forcing. By imposing non-resonance conditions on the frequency, we establish the existence of response...

    Bochao Chen, Yixian Gao, Yong Li… in Journal of Dynamics and Differential Equations (2023)

  3. No Access

    Article

    Electromagnetic field enhancement in a subwavelength rectangular open cavity

    Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The e...

    Yixian Gao, Peijun Li, **aokai Yuan in Partial Differential Equations and Applications (2021)

  4. No Access

    Article

    The Well-Posedness of Fractional Systems with Affine-Periodic Boundary Conditions

    This paper is devoted to study the existence and uniqueness of solutions for a class of nonlinear fractional dynamical systems with affine-periodic boundary conditions. We can show that there exists a solution...

    Fei Xu, Yong Li, Yixian Gao, Xu Xu in Differential Equations and Dynamical Systems (2020)