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MARTINGALE REPRESENTATION IN NEARLY UNIFORMLY CONVEX SPACES

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Acta math.matica Scientia 1995年第3期15卷 352-355页

作者：王健华 Dept. of math. Anhui Normal Univ Wuhu 241000 China

In this paper we give a martingale representation in nearly uniformly convex Banach spaces. Our result generalizes the representation theorem established by Landers and Rogge.

关键词： martingale near uniform convexity uniformly kadec-klee best approximation

NONLINEAR REACTION DIFFUSION PROBLEMS WITH ULTRA PARABOLIC LIMITING EQUATIONS

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Applied math.matics(A Journal of Chinese univ.rsities) 2007年第3期22卷 286-290页

作者： mo Jiaqi Dept.of math.,anhui normal univ.,wuhu 241000.China Dept.of math.,Huzhou Teachers College,Huzhou 313000,China Division of Computational Science,E-Institutes of Shanghai univ.at SJTU,Shanghai 200240,China. Dept. of math. Anhui Normal Univ. Wuhu China Dept. of math. Huzhou Teachers College Huzhou China Division of Computational Science E-Institutes of Shanghai Univ. at SJTU Shanghai China

In this paper the nonlinear reaction diffusion problems with ultraparabolic equations are considered. By using comparison theorem, the existence, uniqueness and asymptotic behavior of solution for the problem are stud... 详细信息

关键词： nonlinear ultra-parabolic equation reaction diffusion asymptotic behavior comparison theorem.

SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS

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Science China math.matics 1989年第11期32卷 1306-1315页

作者：莫嘉琪 anhui normal univ.rsity Wuhu 241000 PRC

This paper deals with the initial-bounndary value problem for the wider nonlinear reaction diffusion system: where Leading into the variables of multiple scales, we obtained a uniformly valid asymptotic solution to an... 详细信息

关键词： singular perturbation differential inequality reaction diffusion system.

CARATHEODORY INEQUALITY FOR ANALYTIC OPERATOR FUNCTION

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Applied math.matics(A Journal of Chinese univ.rsities) 2001年第3期16卷 285-289页

作者： Yang Changsenof math., Henan normal univ., Xinxiang 453002. Depart. of math. Henan Normal Univ. Xiang

Suppose H is a complex Hilbert space, A H(Δ) denotes the set of all analytic operator functions on Δ, and the set N H(Δ)=｛f(z)｜f(z) is an analytic operator function on the open uint disk Δ, f(z)f(w)=f(w)f(z),f *(z)f(z)=f(z)f *(z),z,w∈Δ｝. The note proves that if f(z)∈N H(Δ),(or A H(Δ))‖f(z)‖≤1,z∈Δ then‖f′(T)‖≤(1-‖T‖ 2) -1 ‖I-f *(T)f(T)‖ 12 ‖I-f(T)f *(T)‖ 12 , where T∈L(H)(orT *T=TT *,respectively),‖T‖<1,Tf=fT.

关键词： Analytic operator function proper contraction resolution of identity.

A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS

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Systems Science and math.matical Sciences 1999年第1期12卷 55-58页

作者： mo Jiaqi (Department of math.matics, anhui normal univ.rsity, wuhu 241000. China) 安徽师范大学数学系安徽芜湖

The singularly perturbed nonlinear problem εy" = f(x, y’)y + g(x, y’), 0 详细信息

The singularly perturbed nonlinear problem εy" = f(x, y’)y + g(x, y’), 0

关键词： Singular perturbation differential inequality boundary value problem.

PERIODIC SOLUTIONS TO A KIND OF p-LAPLACIAN EQUATION WITH A VARIABLE COEFFICIENT AHEAD OF THE NONLINEAR TERM

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Annals of Differential Equations 2010年第4期26卷 450-456页

作者： Zhengxin Wang (Dept. of math., Southeast univ.rsity, Nanjing 211189) Shiping Lu (Dept. of math., anhui normal univ.rsity, wuhu 241000. anhui)(Dept. of math., anhui normal univ.rsity, wuhu 241000. anhui)

In this paper, we study the existence of periodic solutions to a kind of p-Laplacian equation, whose coefficient ahead of the nonlinear term is variable. Such a p-Laplacian equation is different from a class of previo... 详细信息

关键词： periodic solutions p-Laplacian variable sign subconvex critical point theory

Body size induced changes in metabolic carbon of soil nematodes under N deposition and precipitation regime change in a temperate grassland

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Ecological Processes 2024年第1期13卷 120-131页

作者： Shuyan Cui Xiaomei mo Guo Zheng College of Life Science Shenyang Normal University

Background Global climate change has resulted in precipitation regimes exhibiting an increasing trend in rainfall intensity but a reduction in its frequency. Nitrogen(N) deposition is a crucial component of the global N cycling. Nematode body size is a trait that responds to climate change and is used as a standard trait-based indicator in soil community analysis. Variations in body size influence metabolic carbon(C). We examined the ways by which body size and metabolic C of nematodes respond to changing precipitation regimes and how N deposition regulates these responses by an 8-year manipulative *** Nematode body size was indicated by the community-weighted mean(CWM) mass. We quantified C metabolism components of soil nematodes including production C, respiration C, and corresponding C use efficiency(CUE) under different precipitation intensities and N addition in a semi-arid steppe on the mongolian Plateau. The Mantel test was used to determine the correlations between CWM, CUE and environmental factors. The partial least squares path modeling(PLS-PM) was conducted to quantify direct or indirect contributions among latent *** We found that heavy precipitation intensity increased the CWM mass of total nematodes and omnivorespredators without N addition. N addition decreased CWM mass of bacterivores across all the precipitation intensity treatments. Stronger precipitation intensities might be favorable for nematode production and respiration C. Variations in the nematode CWM mass drove the CUE to change with N *** Our findings provide new insights into the mechanisms underlying nematode body size and C metabolism, and highlight that explorative studies, such as manipulative experiments, are needed to identify traits underlying size-related effects and to investigate how they affect CUE of nematodes. These efforts may increase our understanding of how changes in precipitation regimes and N deposition may alter soil nema

关键词： Community-weighted mean Metabolic footprint Nitrogen addition Precipitation intensity

EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM

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Annals of Differential Equations 2009年第3期25卷 348-355页

作者： Shipeng Wang,Shude Liu (Dept. of math.,anhui normal univ.rsity,wuhu 241000.anhui) Dept.of math. Anhui Normal UniversityWuhu 241000Anhui

In this paper,we investigate a nonlinear third-order three-point boundary value problem. By several well-known fixed point theorems,the existence of positive solutions is discussed. Besides,the uniqueness results are ... 详细信息

关键词： positive solutions Green's function boundary value problem fixed point theorem in a cone

A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION

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Annals of Differential Equations 2004年第4期20卷 396-401页

作者：莫嘉琪 Dept. of math. anhui normal univ.rsity Wuhu 241000

A class of nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series, the boundary layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.

关键词： nonlinear elliptic equation singular perturbation