803 Result(s)
within
English
Analysis
Mathematics, general
Ordinary Differential Equations
Partial Differential Equations
**hu Li
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Article
Open AccessGlobal 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 ...
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Article
Open AccessDynamical 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 ...
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Article
Open AccessExistence 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 ( ...
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Article
Open AccessCaputo 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...
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Open AccessDynamical 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...
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Article
Open AccessNew 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...
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Open AccessExistence 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
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Open AccessExtinction 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...
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Article
Open AccessRiemann 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 ...
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Article
Open AccessConservative 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...
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Article
Open AccessRemarks 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...
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Article
Open AccessBifurcation 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...
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Article
Open AccessGlobal 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...
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Article
Open AccessMultiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems
In this paper, by applying a nonlinear alternative principle of Leray–Schauder and Guo–Krasnosel’skii fixed point theorem on compression and expansion of cones, together with truncation technique, we study the...
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Article
Open AccessInfinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity
In this article, we study the quasilinear Schrödinger equation − △ (
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Article
Open AccessUniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor dam**
This paper studies a Balakrishnan–Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of the delay term, we establish a generalized stability resu...
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Article
Open AccessIntegrable aspects, analytic solutions and their asymptotic analysis for a discrete relativistic Toda lattice system
In this paper, we investigate a discrete relativistic Toda lattice ( dRTL + ...
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Article
Open AccessGlobal classical solutions to the viscous two-phase flow model with slip boundary conditions in 3D exterior domains
We consider the two-phase flow model in 3D exterior domains with slip boundary conditions. We establish the global existence of classical solutions of this system, provided that the initial energy is suitably ...
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Article
Open AccessExistence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the p...
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Article
Open AccessUniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, ...
