Li, Fucai Zhang, Zhipeng
Published in
Acta Mathematica Scientia

We investigate the uniform regularity and zero kinematic viscosity-magnetic diffusion limit for the incompressible viscous magnetohydrodynamic equations with the Navier boundary conditions on the velocity and perfectly conducting conditions on the magnetic field in a smooth bounded domain Ω ⊂ ℝ3. It is shown that there exists a unique strong soluti...

Liu, Jia Wang, Xianjia
Published in
Acta Mathematica Scientia

In this paper, we propose an iterative algorithm to find the optimal incentive mechanism for the principal-agent problem under moral hazard where the number of agent action profiles is infinite, and where there are an infinite number of results that can be observed by the principal. This principal-agent problem has an infinite number of incentive-c...

Su, Yifan Guo, Zhenhua
Published in
Acta Mathematica Scientia

This paper is devoted to studying the zero dissipation limit problem for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity. In particular, we focus our attention on the viscosity taking the form μ(ρ) = ρϵ(ϵ > 0). For the selected density-dependent viscosity, it is proved that the solutions of the one...

Liang, Yuxia
Published in
Acta Mathematica Scientia

There is little work concerning the properties of quaternionic operators acting on slice regular function spaces defined on quaternions. In this paper, we present an equivalent characterization for the boundedness of the product operator CϕDm acting on Bloch-type spaces of slice regular functions. After that, an equivalent estimation for its essent...

Anderson, Douglas R. Onitsuka, Masakazu
Published in
Acta Mathematica Scientia

We investigate the Hyers—Ulam stability (HUS) of certain second-order linear constant coefficient dynamic equations on time scales, building on recent results for first-order constant coefficient time-scale equations. In particular, for the case where the roots of the characteristic equation are non-zero real numbers that are positively regressive ...

Zhang, Ruihan Shi, Weijuan Ji, Guoxing
Published in
Acta Mathematica Scientia

Let X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\cal X}$$\end{document} be an infinite-dimensional real or complex Banach space, and ℬ(X)\documentclass[12pt]{mini...

Eltayeb, Hassan Mesloub, Said
Published in
Acta Mathematica Scientia

In this article, several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved. Based on these theorems, a new conformable triple Sumudu decomposition method (CTSDM) is intrduced for the solution of singular two-dimensional conformable functional Burger’s equation. This method is a combination of the decomp...

Sun, Yuqi Zhang, Wen
Published in
Acta Mathematica Scientia

Assume that X and Y are real Banach spaces with the same finite dimension. In this paper we show that if a standard coarse isometry f: X → Y satisfies an integral convergence condition or weak stability on a basis, then there exists a surjective linear isometry U: X → Y such that ‖f (x) − Ux‖ = o(‖x‖) as ‖x‖ → ∞. This is a generalization about the ...

Jain, Pankaj Basu, Chandrani Panwar, Vivek
Published in
Acta Mathematica Scientia

In this paper, we introduce and study a (p, q)-Mellin transform and its corresponding convolution and inversion. In terms of applications of the (p, q)-Mellin transform, we solve some integral equations. Moreover, a (p, q)-analogue of the Titchmarsh theorem is also derived.

Liu, Lingjun Shi, Feilin
Published in
Acta Mathematica Scientia

In this paper, we will study the nonlocal and nonvariational elliptic problem \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left\{ {\matrix{{ - (1 + a\|u\|_q^{\alpha...