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High-Order Numerical Method for Solving a Space Distributed-Order Time-Fractional Diffusion Equation

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (3)

This article proposes a high-order numerical method for a space distributed-order time-fractional diffusion equation. First, we use the mid-point quad......

The Uniqueness of the L-p Minkowski Problem for q-Torsional Rigidity

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

In this paper, we prove the uniqueness of the L-p Minkowski problem for q-torsional rigidity with p > 1 and q > 1 in smooth case. Meanwhile, the......

The Nonemptiness and Compactness of Mild Solution Sets for Riemann-Liouville Fractional Delay Differential Variational Inequalities

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential varia......

RIGIDITY RESULTS FOR SELF-SHRINKING SURFACES IN R-4

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

In this paper, we give some rigidity results for complete self-shrinking surfaces properly immersed in R-4 under some assumptions regarding their Gaus......

AN UPBOUND OF HAUSDORFF'S DIMENSION OF THE DIVERGENCE SET OF THE FRACTIONAL SCHRODINGER OPERATOR ON H-s(R-n)*

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (4)

Given n >= 2 and alpha >1/2, we obtained an improved upbound of Hausdorff's dimension of the fractional Schrodinger operator; that is, sup (n)(f......

ON SCHWARZ-PICK TYPE INEQUALITY FOR MAPPINGS SATISFYING POISSON DIFFERENTIAL INEQUALITY

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (3)

Let f be a twice continuously differentiable self-mapping of a unit disk satisfying Poisson differential inequality vertical bar Delta f(z)vertical ba......

Stability Analysis of Causal Integral Evolution Impulsive Systems on Time Scales

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (3)

In this article, we present the existence, uniqueness, Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral caus......

A STABILITY PROBLEM FOR THE 3D MAGNETOHYDRODYNAMIC EQUATIONS NEAR EQUILIBRIUM

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (4)

The paper is concerned with a stability problem on perturbations near a physically important steady state solution of the 3D MHD system. We obtain thr......

The Precise Norm of a Class of Forelli-Rudin Type Operators on the Siegel Upper Half Space

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

The precise L-p norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implie......

A Generalization of Boyd's Interpolation Theorem

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (4)

Boyd's interpolation theorem for quasilinear operators is generalized in this paper, which gives a generalization for both the Marcinkiewicz interpola......

A PRIORI BOUNDS AND THE EXISTENCE OF POSITIVE SOLUTIONS FOR WEIGHTED FRACTIONAL SYSTEMS

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

In this paper, we prove the existence of positive solutions to the following weighted fractional system involving distinct weighted fractional Laplaci......

A Strong Solution of Navier-Stokes Equations with a Rotation Effect for Isentropic Compressible Fluids

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

We study the initial boundary value problem for the three-dimensional isentropic compressible Navier-Stokes equations in the exterior domain outside a......

POSITIVE SOLUTIONS OF A NONLOCAL AND NONVARIATIONAL ELLIPTIC PROBLEM

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (5)

In this paper, we will study the nonlocal and nonvariational elliptic problem {-(1 + alpha parallel to u parallel to(alpha q)(q))Delta u = vertical ba......

The Proximal Relation, Regionally Proximal Relation and Banach Proximal Relation for Amenable Group Actions

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (3)

In this paper, we study the proximal relation, regionally proximal relation and Banach proximal relation of a topological dynamical system for amenabl......

Dynamics Analysis of a Delayed HIV Infection Model with CTL Immune Response and Antibody Immune Response

期刊: ACTA MATHEMATICA SCIENTIA, 2021; 41 (3)

In this paper, dynamics analysis of a delayed HIV infection model with CTL immune response and antibody immune response is investigated. The model inv......

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