Zhang, Zihou Montesinos, Vicente Liu, Chunyan
Published in
Acta Mathematica Scientia

We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points, related to the so-called Rolewicz’s property (α). We give a characterization of those points in terms of continuity properties of the identity mapping. The connection between these two geometric properties is established, a...

Li, Hongmin Xiao, Yuelong
Published in
Acta Mathematica Scientia

This article is concerned with the 3D nonhomogeneous incompressible magneto- hydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states...

Yang, Qing Zhu, Jiayan Li, Zhengbang
Published in
Acta Mathematica Scientia

This article proposes the maximum test for a sequence of quadratic form statistics about score test in logistic regression model which can be applied to genetic and medicine fields. Theoretical properties about the maximum test are derived. Extensive simulation studies are conducted to testify powers robustness of the maximum test compared to other...

Haider, Syed Sabyel Rehman, Mujeeb Ur
Published in
Acta Mathematica Scientia

The purpose of this study is to acquire some conditions that reveal existence and stability for solutions to a class of difference equations with non-integer order ώ ∈ (1, 2]. The required conditions are obtained by applying the technique of contraction principle for uniqueness and Schauder’s fixed point theorem for existence. Also, we establish so...

Akramov, Ibrokhimbek Oliver, Marcel
Published in
Acta Mathematica Scientia

In this article, we consider a fully nonlinear partial differential equation which can be expressed as a sum of two Monge-Ampère operators acting in different two-dimensional coordinate sections. This equation is elliptic, for example, in the class of convex functions. We show that the notion of Monge-Ampère measures and Aleksandrov generalized sol...

Vinodkumart, A. Loganathan, C. Vijay, S.
Published in
Acta Mathematica Scientia

In this article, we study the approximate controllability results for an integroquasilinear evolution equation with random impulsive moments under sufficient conditions. The results are obtained by the theory of C0 semigroup of bounded linear operators on evolution equations and using trajectory reachable sets. Finally, we generalize the results to...

Chu, Wenchang
Published in
Acta Mathematica Scientia

The unified Ω-series of the Gauss and Bailey 2F1(12)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_2F_1(\frac{1}{2})$$\end{document}-sums will be investigated by util...

Liu, Manli Gao, Lingyun
Published in
Acta Mathematica Scientia

With the aid of Nevanlinna value distribution theory, differential equation theory and difference equation theory, we estimate the non-integrated counting function of meromor- phic solutions on composite functional-differential equations under proper conditions.We also get the form of meromorphic solutions on a type of system of composite functiona...

Guo, Tiexin Zhang, Erxin Wang, Yachao Yuan, George
Published in
Acta Mathematica Scientia

Let (B, ∥ · ∥) be a Banach space, (Ω, F, P) a probability space, and L0 (F, B) the set of equivalence classes of strong random elements (or strongly measurable functions) from (Ω, F, P) to (B, ∥ · ∥). It is well known that L0 (F, B) becomes a complete random normed module, which has played an important role in the process of applications of random ...

Li, Jinxia Li, Baode He, Jianxun
Published in
Acta Mathematica Scientia

Let T be an anisotropic Calderón-Zygmund operator and φ : ℝn × [0, ∞) → [0, ∞) be an anisotropic Musielak-Orlicz function with φ(x, ·) being an Orlicz function and φ(·,t) being a Muckenhoupt A∞ (A) weight. In this paper, our goal is to study two boundedness theorems for commutators of anisotropic Calderón-Zygmund operators. Precisely, when b ∈ BMOw...