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  1. Article

    Open Access

    Caputo fractional backward stochastic differential equations driven by fractional Brownian motion with delayed generator

    Over the years, the research of backward stochastic differential equations (BSDEs) has come a long way. As a extension of the BSDEs, the BSDEs with time delay have played a major role in the stochastic optimal...

    Yunze Shao, Junjie Du, **aofei Li, Yuru Tan, Jia Song in Boundary Value Problems (2024)

  2. No Access

    Article

    Flocking of a thermodynamic Cucker-Smale model with local velocity interactions

    In this paper, we study the flocking behavior of a thermodynamic Cucker–Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimat...

    Chunyin **, Shuangzhi Li in Acta Mathematica Scientia (2024)

  3. No Access

    Article

    The absence of singular continuous spectrum for perturbed Jacobi operators

    This paper is mainly about the spectral properties of a class of Jacobi operators $$({H_{c,b}}u)(n) = {c_n}u(n + 1) + {c_{n - 1}}u(n - 1) + {b...

    Zhengqi Fu, **ong Li in Acta Mathematica Scientia (2024)

  4. No Access

    Article

    From wave functions to tau-functions for the Volterra lattice hierarchy

    For an arbitrary solution to the Volterra lattice hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the matrix-resolvent method. In this paper, we define a pair of w...

    Ang Fu, Ming** Li, Di Yang in Acta Mathematica Scientia (2024)

  5. No Access

    Article

    The sparse representation related with fractional heat equations

    This study introduces a pre-orthogonal adaptive Fourier decomposition (POAFD) to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caf...

    Wei Qu, Tao Qian, Ieng Tak Leong, Pengtao Li in Acta Mathematica Scientia (2024)

  6. No Access

    Article

    On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups

    The spectrum of a group is the set of orders of its elements. Finite groups with the same spectra as the direct squares of the finite simple groups with abelian Sylow 2-subgroups are considered. It is proved t...

    Tao Li, Ali Reza Moghaddamfar, Andrey V. Vasil’ev, Zhigang Wang in Ricerche di Matematica (2024)

  7. No Access

    Article

    Property \(\mathcal {P}\) and Compact Perturbations

    Let \(\mathcal {H}\) H be a complex separable infinite dimensional Hilbert ...

    Ting Ting Zhou, Li Qi **u in Complex Analysis and Operator Theory (2024)

  8. Article

    Open Access

    Dynamical analysis of a novel fractional order SIDARTHE epidemic model of COVID-19 with the Caputo–Fabrizio(CF) derivative

    Fabrizio and Caputo suggested an extraordinary definition of fractional derivative, which has been used in many fields. The SIDARTHE infectious disease model with regard to COVID-19 is studied by the new notio...

    Yu Zhao, Tian-zeng Li, Rong Kang, **-liang He in Advances in Continuous and Discrete Models (2024)

  9. Article

    Open Access

    A matrix acting between Fock spaces

    If H ν = ...

    Zhengyuan Zhuo, Dongxing Li, Tiaoying Zeng in Journal of Inequalities and Applications (2024)

  10. Article

    Open Access

    New type of the unique continuation property for a fractional diffusion equation and an inverse source problem

    In this work, a new type of the unique continuation property for time-fractional diffusion equations is studied. The proof is mainly based on the Laplace transform and the properties of Bessel functions. As an...

    Wenyi Liu, Chengbin Du, Zhiyuan Li in Boundary Value Problems (2024)

  11. Article

    Open Access

    Existence and uniqueness of solutions for multi-order fractional differential equations with integral boundary conditions

    In this paper, we consider the existence and uniqueness of solutions for the following nonlinear multi-order fractional differential equation with integral boundary conditions

    Jian-** Sun, Li Fang, Ya-Hong Zhao, Qian Ding in Boundary Value Problems (2024)

  12. Article

    Open Access

    Extinction behavior and recurrence of n-type Markov branching–immigration processes

    In this paper, we consider n-type Markov branching–immigration processes. The uniqueness criterion is first established. Then, we construct a related system of differential equations based on the branching proper...

    Jun** Li, Juan Wang in Boundary Value Problems (2024)

  13. No Access

    Article

    Cauchy type integrals and a boundary value problem in a complex Clifford analysis

    Clifford analysis is an important branch of modern analysis; it has a very important theoretical significance and application value, and its conclusions can be applied to the Maxwell equation, Yang-Mill field ...

    Nanbin Cao, Zunfeng Li, Heju Yang, Yuying Qiao in Acta Mathematica Scientia (2024)

  14. No Access

    Article

    Entire solutions of higher order differential equations with entire coefficients having the same order

    In this paper, we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order, and prove that the entire solutions are of infinite lower orde...

    Ziheng Feng, Zhibo Huang, Yezhou Li in Acta Mathematica Scientia (2024)

  15. No Access

    Article

    Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary

    This paper is concerned with the Navier-Stokes/Allen-Cahn system, which is used to model the dynamics of immiscible two-phase flows. We consider a 1D free boundary problem and assume that the viscosity coeffic...

    Shi** Ding, Yinghua Li, Yu Wang in Acta Mathematica Scientia (2024)

  16. No Access

    Article

    Finite groups with two kernels of nonlinear irreducible characters

    In this paper, we consider finite groups with few kernels of nonlinear irreducible characters and classify finite solvable groups with two kernels of nonlinear irreducible characters. Nonsolvable groups with t...

    Qingyun Meng, Yali Li in Ricerche di Matematica (2023)

  17. No Access

    Article

    Bernoullicity of lopsided principal algebraic actions

    We show that the principal algebraic actions of countably infinite groups associated to lopsided elements in the integral group ring satisfying some orderability condition are Bernoulli.

    Hanfeng Li, Kairan Liu in Israel Journal of Mathematics (2023)

  18. No Access

    Article

    A note on Thompson problem

    In this paper, we prove that if two finite groups G and H have isomorphic Burnside rings, then G and H are the same order type groups, and give an example to show that the Burnside rings of the same order type gr...

    Yu Li, Wujie Shi in Ricerche di Matematica (2023)

  19. Article

    Open Access

    Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains

    This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term ...

    Yongxiang Li, Pengbo Li in Journal of Inequalities and Applications (2023)

  20. No Access

    Article

    Weak-Type Regularity of the Bergman Projection on n-Dimensional Hartogs Triangles

    In this paper, we research the weak-type regularity of the Bergman projection for n-dimensional generalized Hartogs triangles. The weak-type regularity of the Bergman projection of 2-dimensional Hartogs triangles...

    Yuanyuan **g, Yi Li, Chuan Qin, Mengjiao Wang in Complex Analysis and Operator Theory (2023)

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