Wang, Pengyan Niu, Pengcheng
Published in
Acta Mathematica Scientia

In this paper, we prove the existence of positive solutions to the following weighted fractional system involving distinct weighted fractional Laplacians with gradient terms \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek...

Zhou, Lifang Fan, Yun Lu, Jin
Published in
Acta Mathematica Scientia

The precise Lp 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 implies the upper Lp norm estimate of the Bergman projection, but also implies the precise Lp norm of the Berezin transform.

Wu, Guochun Zhong, Xin
Published in
Acta Mathematica Scientia

We prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density provided that the initial total energy is suitably small. Note that although the system degenerates near vacuum, there is no need to require compatibility conditions for the initial data...

Agarwal, Ravi Almeida, Ricardo Hristova, Snezhana O’Regan, Donal
Published in
Acta Mathematica Scientia

Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both the time and the state variable. The case when the lower limit of the Caputo fractional derivative is fixed at the initial time, and the case when the lower limit of the fractional derivat...

Hung, Tran Loc Kien, Phan Tri
Published in
Acta Mathematica Scientia

The main purpose of this paper is to extend the Zolotarev’s problem concerning with geometric random sums to negative binomial random sums of independent identically distributed random variables. This extension is equivalent to describing all negative binomial infinitely divisible random variables and related results. Using Trotter-operator techniq...

Jiang, Yirong Wei, Zhouchao Lu, Jingping
Published in
Acta Mathematica Scientia

This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities, which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality. Our approach is based on the resolvent technique and a generalization...

Tang, Kai
Published in
Acta Mathematica Scientia

In this paper, we derive some ∂∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\partial \overline \partial $$\end{document}-Bochner formulas for holomorphic maps betw...

Wu, Xin
Published in
Acta Mathematica Scientia

In this paper, we establish some oscillation criteria for higher order nonlinear delay dynamic equations of the form [rnφ(⋯r2(r1xΔ)Δ⋯)Δ]Δ(t)+h(t)f(x(τ(t)))=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odd...

Zhu, Zhifeng Zhang, Shaoyi Tian, Fanji
Published in
Acta Mathematica Scientia

We investigate the convergence of nonhomogeneous Markov chains in general state space by using the f norm and the coupling method, and thus, a sufficient condition for the convergence of nonhomogeneous Markov chains in general state space is obtained.

Papageorgiou, Nikolaos S. Vetro, Calogero Vetro, Francesca
Published in
Acta Mathematica Scientia

We consider a nonlinear Dirichlet problem driven by a (p, q)-Laplace differential operator (1