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existence of global
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     In this paper, the nonlinear wave equation u tt +bu t= Δ u+F(u), t>0,x∈R 3, u(0,x)=f(x), u t(0,x)=g(x) is discussed, where Δ = ∑3i=1 2x 2 i, b>0. The existence of global solution for this equation is obtained.
     研究了非线性波动方程utt+but =Δu+F(u) ,t >0 ,x∈R3 ,u(0 ,x) =f(x) ,ut(0 ,x) =g(x) ,x∈R3 的整体解 ,其中Δ =∑3i=1 2 x2 i,常数b >0 ,得到了波动方程整体解的存在性 .
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     In biological study,Gierer and Meinhardt set the following re-action-diffusion equations u_t=d△u-μu+u_r/v~q+σ_1 v_t=D△v-vu+u~r/v~s+σ_2The existence of Global solution is proved by upper and lower solutions. Themain conclusions from Wu Jianhua are improved and popularized.
     Gierer和Meinhardt在生物科学研究中,提出了下列一类反应扩散方程组u_t=d△u-μu+u~p/υ~q+σ_1v_t=D△v-vυ+u~r/υ~s+σ_2该文利用上、下解方法,证明了该方程组古典解的整体存在性,推广和改进了吴建华同志的结论。
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     The existence of global solution and periodic solution is discussed for nonlinear evolution equation u′(t)+Au(t)=f(t,u(t)) in an ordered Banach space X ,where A is a closed linear operator in X and - A generates a C 0 semigroup T(t),f:×X→X only satisfies weak Carathéodory condition.
     研究了有序Banach空间X中非线性发展方程u′(t) +Au(t) =f(t,u(t) )的整体解与周期解的存在性 ,其中A为X中的闭线性算子 ,-A生成X中的正C0 半群T(t) (t≥ 0 ) ,f:[0 ,w]×XX仅满足弱Carath啨odory条件 .
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     In this paper,the long thme behavior of solution for B-BBM equation with periodic boundary condition:ut-δ 3ux 2t-α 2ux 2+g(u) x+γu=f(x) is studied. The existence uniqueness of solution,existence of global attractor for the above problem are proved.
     本文研究了周期边界条件下B BBM方程 : u t-δ 3 u x2 t-α 2 u x2 +g(u) x+γu=f(x)的长时间动力学行为 ,证明了该方程组的存在唯一性的整体吸引子的存在性
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     1. The existence of global smooth solution.
     1.解的整体存在性。
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     A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS
     A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS
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     Existence of global solutions to β+1
     β+1
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     The existence of global weak solutions to the initial boundary value problem of a nonlinear wave equationu tt-λΔu t-Δ tt-∑Ni=1x iσ i(u x i)=f(x,t),(x,t)∈Ω×R 1is studied by Galerkin methods.
     借助于 Galerkin方法研究了一类非线性波动方程 utt-λΔut-Δutt-∑Ni=1 xiσi( uxi) =f ( x,t) ,( x,t)∈Ω× R1的初边值问题整体弱解的存在性
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     It's interesting to investigate the sufficient conditions of existence of global solution when p≥ 1+ 4/n.
     有意思的是对p≥1+4/n解整体存在条件的讨论。
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     Existence of Global Solution of Nonlinear Ginzburg-Landau Equation with External Force Term in Two-Dimensional Space
     二维带外力项的非线性Ginzburg-landau方程整体解的存在性
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  相似匹配句对
     THE EXISTENCE OF H X-RING
     H X环的存在性
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     Understanding of Existence
     存在的领悟
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     Existence and Challenger
     生存与挑战
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     Photography and Existence
     摄影与存在
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     The Global City
     全球城市
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  existence of global
Simple conditions for the existence of global continua of cycles in autonomous Hamiltonian single-loop control systems are derived from ordinary linear two-sided nonlinearity estimates.
      
Questions of existence of global first integrals and potential of the cited one-dimensional system are studied.
      
Existence of global solutions to multidimensional equations for Bingham fluids
      
Simultaneously, a new theorem on the existence of global weak solutions is deduced.
      
The existence of global solution and "blow up" phenomenon for a system of multi dimensional symmetric regularized wave equations
      
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Through an analysis of the fundamental theory of scattered light holopho- toelasticity, the paper points out that the main difficulty concerning this topic is the simultaneous existence of global optical effects in all paths. Moreover, there exist at the same time speckle and photoelastic effects. For materials that are not photoelastically sensitive(such as plexiglass),the speckle effect is the main problem.

本文对散光全息光弹性的基本原理进行了分析,指出散光全息光弹性的主要困难在于同时存在着所有路程中总的光学效应,而光学效应中又同时存在着散斑及光弹性效应,对于光弹性效应不灵敏的材料(如有机玻璃)来说,散斑效应是主要的。

In this Paper we shall discuss the non-existence of global solution ofinitial boundary Value problems for a class semilinear parabiolic equationWe have obtained three theorems and partly solved the problems arisng,from the paper of C. V. pao.

本文将讨论一类半线性抛物型方程初边值问题整体解的不存在性。我们得到了三个定理,部分地解决了C.V.Pao的文中提出的问题。

In this article, We consider the quenching problem for quasi-linear parabolic Systms. As a model, We consider the following initial-boundary Value problem Where Ω is a bounded open set in R~n, D≡(0 ,T)×Ω,Γ=(0,T)×(?), 0=B. Conditions under which quenching occurs in finite time and the condition for the existence of global solution are given.

在这篇文章中,我们考虑拟线性抛物方程组熄灭问题。作为一个模型,考虑下面始值一边值问题其中Ω是在R~n中的有界开集,D=(0,T)×Ω,Γ=(0,T)×(?)Ω,0

 
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