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共有20条相似文献,以下是第1-20项 搜索用时 445 毫秒

1.  QUENCHING PROBLEMS OF DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION  
   Ma Zhongtai 《Annals of Differential Equations》,2006年第3期
   This paper is concerned with the quenching problem of a degenerate functional reaction-diffusion equation. The quenching problem and global existence of solution for the reaction-diffusion equation are derived and, some results of the positive steady state solutions for functional elliptic boundary value are also presented.    

2.  ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF REACTION DIFFUSION EQUATIONS  
   MoJiaqi LinWantao ZhuJiang《高校应用数学学报(英文版)》,2004年第19卷第4期
   A class of initial boundary value problems for the reaction diffusion equations are considered. The asymptotic behavior of solution for the problem is obtained using the theory of differential inequality.    

3.  LOCAL STABILITY OF TRAVELLING FRONTS FOR A DAMPED WAVE EQUATION  
   罗操《数学物理学报(B辑英文版)》,2013年第33卷第1期
   The paper is concerned with the long-time behaviour of the travelling fronts of the damped wave equation αutt+ut=uxx V’(u) on R.The long-time asymptotics of the solutions of this equation are quite similar to those of the corresponding reaction-diffusion equation ut=uxxV’(u).Whereas a lot is known about the local stability of travelling fronts in parabolic systems,for the hyperbolic equations it is only briefly discussed when the potential V is of bistable type.However,for the combustion or monostable type of V,the problem is much more complicated.In this paper,a local stability result for travelling fronts of this equation with combustion type of nonlinearity is established.And then,the result is extended to the damped wave equation with a case of monostable pushed front.    

4.  THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY  被引次数:7
   莫嘉琪  冯茂春《数学物理学报(B辑英文版)》,2001年第2期
   Mo studied a class of singularly perturbed problems for reaction diffusion equations in[4]-[8]. Now we consider the following nonlinear singularly perturbed prob1em with time delaywhere i = 1, 2,' l N, u = (u1, u2l', UN), u* = (u1, u;,', uX) and u: == ui(t -- er, xt e) (thereis similar notation of the superscript k*" below), rt e are positive C..,tant. and re is the timedelay, andz = (xl, xzl... l z.) E O, fl denotes a boullded region in R", 0fl signifies a boundary of fl forclass C' …    

5.  A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation  
   Jia-qiMo Wan-taoLin《应用数学学报(英文版)》,2005年第21卷第1期
   A nonlinear singularly perturbed problems for reaction diffusion equation with boundary perturbation is considered. Under suitable conditions, the asymptotic behavior of solution for the initial boundary value problems of reaction diffusion equations is studied using the theory of differential inequalities.    

6.  Infinitely Many Sign-changing Solutions for a Schrdinger Equation in R~N  
   洪明理  李永青《数学进展》,2006年第6期
   We consider the existence of infinitely many sign-changing solutions for the nonlinear time-independent schrodinger equations of the form where Vλ(x) =λa(x) 1. This problem originates from various problems in physics and mathematical physics. In constructive field theory, (1.1) is called a nonlinear Euclidean scalar field equation. In chemical dynamics, a solution of (1.1) is a stationary state of the reaction diffusion equation    

7.  ON NONLINEAR COUPLED REACTION-DIFFUSION SYSTEMS  
   梅茗《数学物理学报(B辑英文版)》,1989年第2期
   In this paper, the problem of initial boundary value for nonlinear coupled reaction-diffusion systems arising in biochemistry, engineering and combustion_theory is considered.    

8.  POSITIVE SOLUTIONS FOR PARAMETRIC EQUIDIFFUSIVE p-LAPLACIAN EQUATIONS  
   Leszek GASINSKI  Nikolaos S. PAPA GEORGIOU《数学物理学报(B辑英文版)》,2014年第3期
   We consider a parametric Dirichlet problem driven by the p-Laplacian with a Caratheodory reaction of equidiffusive type. Our hypotheses incorporate as a special case the equidiffusive p-logistic equation. We show that if λ1 〉 0 is the principal eigenvalue of the Dirichlet negative p-Laplacian and )λ 〉 λ1 (/k being the parameter), the problem has a unique positive solution, while for )λ ∈ (0, λ1], the problem has no positive solution.    

9.  THE EXISTENCE AND THE NON-EXISTENCE OF GLOBAL SOLUTIONS OF A FREE BOUNDARY PROBLEM  
   YinRong YuWanghui《偏微分方程(英文版)》,2004年第17卷第2期
   We study a free boundary problem of parabolic equations with a positive parameter τ included in the coefficient of the derivative with respect to the time variable t. This problem arises from some reaction-diffusion system. We prove that, if τ is large enough, the solution exists for 0<t<+∞;while, if τ is small enough, the solution exists only in finite time.    

10.  A CLASS OF NONLINEAR SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION  
   Mo Jiaqi《高校应用数学学报(英文版)》,2007年第22卷第2期
   A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptotic solution of the initial boundary value problems is studied.    

11.  THE CORNER LAYER SOLUTION TO ROBIN PROBLEM FOR REACTION DIFFUSION EQUATION  
   Lihua Chen Dept. of Math. and Computer Science   Fuqing Branch of Fujian Normal University   Fuqing  Fujian Zhaohui Wen Institute of Applied Math.《Annals of Differential Equations》,2012年第2期
   A class of Robin boundary value problem for reaction diffusion equation is considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of the corner layer solution to the initial boundary value problem are studied.    

12.  催化反应中的一类奇摄动边值问题  
   史少云《东北数学》,2000年第16卷第3期
   §1. Introduction We are concered with the singularly perturbed boundary value problemε2y″=y3,(1)y(0)=1, y(1)=2,(2)where ε>0 is a positive small parameter. This problem arises as models for certain catalytic reactions in chemical engineering. The study of that problem has been paid much attention for the boundary layers of the problem exihibit the behavior of nonexponential decay. There have been some works on this subject [1]-[4]. In particular, Howes and Chang[1] gave an accurate…    

13.  A CLASS OF SINGULARLY PERTURBED INITIAL BOUNDARY PROBLEM FOR REACTION DIFFUSION EQUATION  
   XieFeng《分析论及其应用》,2003年第19卷第1期
   The singularly perturbed initial boundary value problem for a class of reaction diffusion equation is considered. Under appropriate conditions, the existence-uniqueness and the asymptotic behavior of the solution are showed by using the fixed-point theorem.    

14.  Analysis of a Prey-predator Model with Disease in Prey  
   Li Jian-jun   Gao Wen-jie    Sun Peng《东北数学》,2010年第26卷第1期
   In this paper, a system of reaction-diffusion equations arising in ecoepidemiological systems is investigated. The equations model a situation in which a predator species and a prey species inhabit the same bounded region and the predator only eats the prey with transmissible diseases. Local stability of the constant positive solution is considered. A number of existence and non-existence results about the nonconstant steady states of a reaction diffusion system are given. It is proved that if the diffusion coefficient of the prey with disease is treated as a bifurcation parameter, non-constant positive steady-state solutions may bifurcate from the constant steadystate solution under some conditions.    

15.  ASYMPTOTIC SOLUTION FOR A CLASS OF WEAKLY NONLINEAR SINGULARLY PERTURBED REACTION DIFFUSION EQUATION  
   Mo Jiaqi 《Annals of Differential Equations》,2006年第22卷第4期
   In this paper a class of nonlinear reaction diffusion problems are considered. Using the perturbed method, the asymptotic solution for corresponding problem is obtained.    

16.  SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS  
   章国华  林宗池《应用数学和力学(英文版)》,1984年第5卷第5期
   In this paper we consider the boundary value problem where ε.μ are two positive parameters. Under f_y≤-k<0 and other suitable restrictions, there exists a solution and it satisfied where y_(0,0)(x) is solution of reduced problem while y_i-j,j(x)(j=0,1,...,i;i=1,2,...,m) can be obtained successively from certain linear equations.    

17.  A note on a diffusive predator-prey model and its steady-state system  
   Rui Peng  Ming Xin Wang  Guo Ying Yang《数学学报(英文版)》,2010年第26卷第5期
   In this note, a diffusive predator-prey model subject to the homogeneous Neumann bound- ary condition is investigated and some qualitative analysis of solutions to this reaction-diffusion system and its corresponding steady-state problem is presented. In particular, by use of a Lyapunov function, the global stability of the constant positive steady state is discussed. For the associated steady state problem, a priori estimates for positive steady states are derived and some non-existence results for non-constant positive steady states are also established when one of the diffusion rates is large enough. Consequently, our results extend and complement the existing ones on this model.    

18.  SEMIDISCRETIZATION IN SPACE OF NONLINEAR DEGENERATE MRABOLIC EQUATIONS WITH BLOW-UP OF THE SOLUTIONS  
   Tetsuya Ishiwata 《计算数学(英文版)》,2000年第6期
   1. IntroductionLet n be a bounded domain in AN with smooth boundary Off. We consider thefollowing initial boundary value problem:where 6, p are positive constants and "o(x) is a nonnegative bounded continuous function on fi.When N = 1 and 5 ~ 2, the problem arises in a model for the resistive diffusion of aforce--free magnetic field in a plasma confined between two walls in one dimension (see[5], [8], [9], [10] and [14]). Equation (1) also describes the evolution of the curvatureof a locally…    

19.  THE EXISTENCE OF SOLUTION OF A CLASS OF TWO-ORDER QUASILINEAR BOUNDARY VALUE PROBLEM  
   何清  冀春慈《应用数学和力学(英文版)》,1992年第13卷第10期
   Ref. [1] discussed the existence of positive solutions of quasilinear two-point boundary problems: but it restricts O    

20.  Singularly perturbed solution to semilinear reaction diffusion equations with two parameters  
   莫嘉琪  刘树德《应用数学和力学(英文版)》,2009年第30卷第5期
   A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered, Under suitable conditions and using the theory of differential inequalities, the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.    

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