检索结果-南通市图书馆

A lower bound on the total signed domination numbers of graphs

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2007年第8期50卷 1157-1162页

作者： Xin-zhong LU department of mathematics,zhejiang normal university,jinhua 321004,china department of mathematics Zhejiang Normal University Jinhua China

Let G be a finite connected simple graph with a vertex set V (G) and an edge set E(G). A total signed domination function of G is a function f : V (G) ∪ E(G) → {?1, 1}. The weight of f is w(f) = Σ x∈V(G)∪E(G) f(x). For an element x ∈ V (G) ∪ E(G), we define $f[x] = \sum\nolimits_{y \in N_T [x]} {f(y)} $ . A total signed domination function of G is a function f : V (G) ∪ E(G) → {?1, 1} such that f[x] ? 1 for all x ∈ V (G) ∪ E(G). The total signed domination number γ s * (G) of G is the minimum weight of a total signed domination function on G.In this paper, we obtain some lower bounds for the total signed domination number of a graph G and compute the exact values of γ s * (G) when G is C n and P n .

关键词： total signed domination function total signed domination number 26A33

Dynamical understanding of loop soliton solution for several nonlinear wave equations

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2007年第6期50卷 773-785页

作者： Ji-bin LI department of mathematics, zhejiang normal university, jinhua 321004, china Kunming university of Science and Technology, Kunming 650093, china department of mathematics Zhejiang Normal University Jinhua China Kunming university of Science and Technology Kunming China

It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution.

关键词： planar dynamical system homoclinic orbit solitary wave solution one-loop soliton solution periodic wave solution bifurcation nonlinear wave equation 34C37 34C23 74J30 58Z05

Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2007年第2期50卷 153-164页

Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

关键词： nonlinear wave bifurcation exact explicit traveling wave solution double sine-Gordon equation multiple sine-Gordon equation 35B10 35L70 35Q51

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第4期53卷 1017-1024页

作者： LIU Yang 1,& CHEN ZhiHua 2 1 department of mathematics,zhejiang normal university,jinhua 321004,china 2 department of mathematics,Tongji university,Shanghai 200092,china department of mathematics Zhejiang Normal University Jinhua China department of mathematics Tongji University Shanghai China

We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic fun... 详细信息

关键词： Schwarz-Pick estimate holomorphic function Taylor expansion

Bifurcations of travelling wave solutions for two generalized Boussinesq systems

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2008年第9期51卷 1577-1592页

作者： LI JiBin1,2 1 department of mathematics, zhejiang normal university, jinhua 321004, china 2 department of mathematics, Kunming university of Science and Technology, Kunming 650093, china department of mathematics Zhejiang Normal University Jinhua China department of mathematics Kunming University of Science and Technology Kunming China

Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

关键词： nonlinear wave bifurcation solitary wave exact explicit solution generalized Boussinesq system 34C37 34C23 74J30 58Z05

SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第4期31卷 1377-1382页

作者：刘洋陈志华 department of mathematics Zhejiang Normal University department of mathematics Tongji University

In this paper, Schwarz-Pick estimates for high order Fr′echet derivatives of bounded holomorphic functions on three kinds of classical domains are presented. We generalize the early work on Schwarz-Pick estimates of ... 详细信息

关键词： Schwarz-Pick estimate holomorphic functions classical domains

The maximal super-singular integral operators on product spaces

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2011年第12期54卷 2615-2626页

作者： WANG Hui1 & CHEN JieCheng2,3, 1department of mathematics, Xidian university, Xi’an 710071, china 2department of mathematics, zhejiang normal university, jinhua 321004, china 3department of mathematics, zhejiang university, Hangzhou 310027, china department of mathematics Xidian University Xi’an China department of mathematics Zhejiang Normal University Jinhua China department of mathematics Zhejiang University Hangzhou China

We study the maximal super-singular integral operator T＊Ω,α,β（f）（x,y）=sup ∈1〉0,∈2〉0｜∫｜u｜〉ε1,｜v｜〉ε2 b1（｜u｜）b2（｜u｜）Ω（u＇,u＇）/｜u｜^n＋α｜u｜^m＋β-f（x-u,y-u）dudu｜defined on all f ∈ S（R^n ×R^m）, where 0 ≤ α,β〈∞, b1 b2 ∈ L∞（R＋1 ）,Ω satisfies certain cancellation conditions and Ω∈L1（S^n-1×S^m-1）in the case α,β〉0;Ω∈L（log＋L）（S^n-1×S^m-1）in the case αβ=0 and α＋β 〉0. It is proved that, for 1〈p〈∞.T＊Ω,α,βis a bounded operator from the homogeneous Sobolev space Lα,β^p（R^n×R^m）to the Lebesgue space L^p（R^n×R^m）.

关键词： super-singular integral maximal operator product spaces

A Note on Schwarz-Pick Estimate

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2010年第3期31卷 343-346页

作者： Yang LIU Zhihua CHEN department of mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China. department of mathematics Tongji University Shanghai 200092 China

A Schwarz-Pick estimate of higher order derivative for holomorphic functions with positive real part on Bn is presented. This improves the earlier work on Schwarz-Pick estimate of higher order derivatives for holomorp... 详细信息

关键词： Schwarz-Pick estimate Holomorphic function Taylor expansion

Existence of Nontrivial Solutions for p-Laplacian Variational Inclusion Systems in R^N

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2011年第4期32卷 619-630页

作者： Zifei SHEN Songqiang WAN department of mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China

The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems where N ≥ 2, 2 ≤ p ≤ N and F ： R^2 →% is a locally Lipschitz function. Under some growth conditions on F, and b... 详细信息

关键词： Mountain pass theorem p-Laplacian Principle of symmetric criticality Variational inclusion systems (PS)-condition Locally Lipschitz functions