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  1. Article

    Open Access

    Global dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition

    We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas, techniques, and the theory of the principal spectral and monotone ...

    Genjiao Zhou, Li Ma in Advances in Continuous and Discrete Models (2024)

  2. No Access

    Article

    On the characterization of harmonic functions with initial data in Morrey space

    Let (X, d, μ) be a metric measure space satisfying the doubling condition and an L2-Poincaré inequality. Consider the nonnegative operator $$\...

    Bo Li, **xia Li, Bolin Ma, Tianjun Shen in Czechoslovak Mathematical Journal (2024)

  3. Article

    Open Access

    Dynamical behaviors of a stochastic SIRV epidemic model with the Ornstein–Uhlenbeck process

    Vaccination is an important tool in disease control to suppress disease, and vaccine-influenced diseases no longer conform to the general pattern of transmission. In this paper, by assuming that the infection ...

    Jiaxin Shang, Wenhe Li in Advances in Continuous and Discrete Models (2024)

  4. No Access

    Article

    Run-length function of the Bolyai-Rényi expansion of real numbers

    By iterating the Bolyai-Rényi transformation T(x) = (x + 1)2 (mod 1), almost every real number x ∈ [0, 1) can be expanded as a continued radical expression

    Rao Li, Fan Lü, Li Zhou in Czechoslovak Mathematical Journal (2024)

  5. No Access

    Article

    Hall algebras of two equivalent extriangulated categories

    For any positive integer n, let An be a linearly oriented quiver of type A with n vertices. It is well-known that the quotient of an exact category by projective-injectives is an extriangulated category. We show ...

    Shiquan Ruan, Li Wang, Haicheng Zhang in Czechoslovak Mathematical Journal (2024)

  6. No Access

    Article

    Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system

    The self-consistent chemotaxis-fluid system $$\left\{ {\matrix{{{n_t} + u \cdot \nabla n = \Delta n - \nabla \cdot (n\nabla c) + \nabla \cdot ...

    Yanjiang Li, Zhongqing Yu, Yumei Huang in Czechoslovak Mathematical Journal (2024)

  7. Article

    Open Access

    Existence and multiplicity of solutions for fractional \(p_{1}(x,\cdot )\& p_{2}(x,\cdot )\) -Laplacian Schrödinger-type equations with Robin boundary conditions

    In this paper, we study fractional p 1 ( ...

    Zhenfeng Zhang, Tianqing An, Weichun Bu, Shuai Li in Boundary Value Problems (2024)

  8. 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)

  9. 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)

  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

    A class of quantum doubles of pointed Hopf algebras of rank one

    We construct a class of quantum doubles \(D({H_{{D_n}}})\) D ( ...

    Hua Sun, Yueming Li in Czechoslovak Mathematical Journal (2023)

  14. Article

    Open Access

    Riemann problem for a \(2\times 2\) hyperbolic system with time-gradually-degenerate dam**

    This paper is focused on the Riemann problem for a 2 × 2 ...

    Shiwei Li in Boundary Value Problems (2023)

  15. Article

    Open Access

    Conservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction

    In this paper, we consider the Fourier spectral method and numerical investigation for a class of modified Zakharov system with high-order space fractional quantum correction. First, the numerical scheme of th...

    Tao Guo, Aiguo **ao, Junjie Wang, Xueyang Li in Advances in Continuous and Discrete Models (2023)

  16. Article

    Open Access

    Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function

    Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a b...

    Chenkuan Li, Reza Saadati, Joshua Beaudin, Andrii Hrytsenko in Boundary Value Problems (2023)

  17. No Access

    Article

    A new approach to antisymmetric infinitesimal bialgebras

    We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Bax...

    Tianshui Ma, Bei Li, Jie Li, Miaoshuang Chen in Czechoslovak Mathematical Journal (2023)

  18. No Access

    Article

    Annihilator ideals of finite dimensional simple modules of two-parameter quantized envelo** algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\)

    Let U be the two-parameter quantized envelo** algebra \({U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})\) ...

    Yu Wang, **aoming Li in Czechoslovak Mathematical Journal (2023)

  19. Article

    Open Access

    Bifurcation mechanism and hybrid control strategy of a finance model with delays

    Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics...

    Zixin Liu, Wenfang Li, Chang** Xu, Chunfeng Liu, Dan Mu in Boundary Value Problems (2023)

  20. Article

    Open Access

    Global regularity of 2D MHD equations with almost Laplacian velocity dissipation

    We obtain the global existence and global regularity for the 2D MHD equations with almost Laplacian velocity dissipation, which require the dissipative operators weaker than any power of the fractional Laplaci...

    Linrui Li, Mingli Hong in Boundary Value Problems (2023)

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