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On Thom Spectra, Orientability, and Cobordism

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  1. Article

    Open Access

    Comparison principle and stability for a class of stochastic fractional differential equations

    In this paper, we study a class of stochastic fractional differential equations. We first establish a novel comparison principle for such equations. Then, we use the new comparison principle to obtain some sta...

    Yuli Lu, Zhangsong Yao, Quanxin Zhu, Yi Yao in Advances in Difference Equations (2014)

  2. Article

    Open Access

    Imbedding inequalities for the composite operator in the Sobolev spaces of differential forms

    We establish the imbedding inequalities for the composition of the homotopy operator and Green’s operator in the weighted Sobolev spaces and Orlicz-Sobolev spaces of differential forms. First we prove both the...

    Hui Bi, Sun Yuli in Journal of Inequalities and Applications (2015)

  3. Article

    Open Access

    Orbital Stability of Solitary Wave for Eckhaus–Kundu Equation

    In this paper, the orbital stability of solitary wave for Eckhaus–Kundu equation is studied. Since the equation we studied is difficult to be expressed as a standard Hamiltonian system, the Grillakis–Shatah–St...

    Yuli Guo, Weiguo Zhang, Siyu Hong in Journal of Nonlinear Mathematical Physics (2023)