Deng, Yuanping Li, Xiaoguan Sheng, Qian
Published in
Acta Mathematica Scientia

In this paper, we give a simpler proof for Ohta’s theorems [1995, Ann. Inst. Henri Poincare, 63, 111; 1995, Diff. Integral Eq., 8, 1775] on the strong instability of the ground states for a generalized Davey-Stewartson system. In addition, a sufficient condition is given to ensure the nonexistence of a minimizer for a variational problem, which is ...

Ding, Wei Zhu, Yueping
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Acta Mathematica Scientia

Multi-parameter mixed Hardy space Hmixp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{{\rm{mix}}}^p$$\end{document} is introduced by a new discrete Calderón’s ident...

Yang, Fan Zhang, Yan Liu, Xiao Li, Xiaoxiao
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Acta Mathematica Scientia

In this article, we consider to solve the inverse initial value problem for an inhomogeneous space-time fractional diffusion equation. This problem is ill-posed and the quasi-boundary value method is proposed to deal with this inverse problem and obtain the series expression of the regularized solution for the inverse initial value problem. We prov...

Aiemsomboon, Laddawan Sintunavarat, Wutiphol
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Acta Mathematica Scientia

In this work, we apply the Brzdęk and Ciepliński’s fixed point theorem to investigate new stability results for the generalized Cauchy functional equation of the form f(ax+by)=af(x)+bf(y),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usep...

Anand, K. S. Yogambigai, J. Harish Babu, G. A. Ali, M. Syed Padmanabhan, S.
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Acta Mathematica Scientia

This article discusses the synchronization problem of singular neutral complex dynamical networks (SNCDN) with distributed delay and Markovian jump parameters via pinning control. Pinning control strategies are designed to make the singular neutral complex networks synchronized. Some delay-dependent synchronization criteria are derived in the form ...

Tang, Qingquan Xin, Qiao Mu, Chunlai
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Acta Mathematica Scientia

This article considers the following higher-dimensional quasilinear parabolic-parabolic-ODE chemotaxis system with generalized Logistic source and homogeneous Neumann boundary conditions {ut=∇·(D(u)∇u)-∇·(S(u)∇v)+f(u),x∈Ω,t>0vt=Δv+w-v,x∈Ω,t>0,wt=u-w,x∈Ω,t>0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts...

Saadallah, Adelkader Benseridi, Hamid Dilmi, Mourad
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Acta Mathematica Scientia

The goal of this article is to study the asymptotic analysis of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions. The yield stress and the constant viscosity are assumed to vary with respect to the thin layer parameter ε. Firstly, the problem statement and variational formulation are formulated. We then obta...

Zhang, Jinguo Hsu, Tsing-San
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Acta Mathematica Scientia

In this article, we study the following critical problem involving the fractional Laplacian: {(-Δ)α2u−γu|x|α=λ|u|q−2|x|s+u2α*(t)-2u|x|tinΩ,u=0inRN\Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemarg...

Gao, Chenghua Wang, Yali Lv, Li
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Acta Mathematica Scientia

In this article, we consider a discrete right-definite Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions. By constructing some new Lagrange-type identities and two fundamental functions, we obtain not only the existence, the simplicity, and the interlacing properties of the real eigenvalues, but also the oscilla...

Ma, Wen-Xiu
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Acta Mathematica Scientia

Within the zero curvature formulation, a hierarchy of integrable lattice equations is constructed from an arbitrary-order matrix discrete spectral problem of Ablowitz-Ladik type. The existence of infinitely many symmetries and conserved functionals is a consequence of the Lax operator algebra and the trace identity. When the involved two potential ...