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

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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. Article

    Open Access

    An expanded analysis of local fractional integral inequalities via generalized \((s,P)\) -convexity

    This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized

    Hong Li, Abdelghani Lakhdari, Fahd Jarad in Journal of Inequalities and Applications (2024)

  3. Article

    Open Access

    On the optimal controllability for a class of Katugampola fractional systems

    This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability b...

    **anghu Liu, Yanfang Li in Journal of Inequalities and Applications (2024)

  4. Article

    Open Access

    Upper bounds for the spectral radius of matrices having the Perron–Frobenius property

    A new upper bound for the spectral radius of matrices having the Perron–Frobenius property is given by considering the position of positive entries. Some examples involving the largest zero of polynomials and ...

    Kaimin Li, Chaoqian Li in Journal of Inequalities and Applications (2024)

  5. Article

    Open Access

    Continuity of the solutions sets for parametric set optimization problems

    The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018. Sufficient condit...

    Manli Yang, Taiyong Li, Guanghui Xu in Journal of Inequalities and Applications (2024)

  6. Article

    Open Access

    η-Stability for stochastic functional differential equation driven by time-changed Brownian motion

    This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov method, we capture some sufficient conditions to ensure that...

    ** He, Yaru Zhang, Yue Wang, Zhi Li in Journal of Inequalities and Applications (2024)

  7. 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)

  8. Article

    Open Access

    Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles

    In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-...

    Yi Li, Mengjiao Wang in Journal of Inequalities and Applications (2024)

  9. 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)

  10. 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)

  11. 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)

  12. 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)

  13. 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)

  14. 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)

  15. 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)

  16. 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)

  17. Article

    Open Access

    Moment inequalities for mixing long-span high-frequency data and strongly consistent estimation of OU integrated diffusion process

    Mixing is not much used in the high-frequency literature so far. However, mixing is a common weakly dependent property of continuous and discrete stochastic processes, such as Gaussian, Ornstein–Uhlenberck (OU...

    Shanchao Yang, Jiaying **e, Shuyi Luo in Journal of Inequalities and Applications (2023)

  18. Article

    Open Access

    Stability analysis for set-valued inverse mixed variational inequalities in reflexive Banach spaces

    This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the map** and the constraint set are perturbed simulta...

    **aolin Qu, Wei Li, Chenkai **ng, Xue** Luo in Journal of Inequalities and Applications (2023)

  19. 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)

  20. 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)

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