1) Cauchy problem
柯西问题
1.
Constructive method for the Cauchy problem of parabolic equations and its mechanization;
抛物方程柯西问题的构造解法及机械化求解
2.
Cauchy problem for a class of coupled hyperbolic systems of conservation laws;
一类偶合双曲守恒律系统的柯西问题(英文)
3.
The generalization of the sabstitution-iteration method for high-dimension wave equation s Cauchy problem;
高维波动方程柯西问题变换迭代法的推广
2) Cauchy problems
柯西问题
1.
The propagation of singularities of solutions to the Cauchy problems of a linear thermoelastic system for microstretch materials in one space variable is studied by using an argument of frequencies analysis.
用频率分析对角化的方法,研究了一维线性微伸缩的热弹性力学方程组柯西问题解的奇性传播规律。
3) semi-linear Cauchy problem
半线性柯西问题
4) non-local Cauchy problem
非局部柯西问题
1.
In this paper, we investigate the following non-local Cauchy problem of nonlinear population evolution equation with random periodic migration perturbation,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0<r<rm,t0p(r,0)=p0(r)+g(p(r,t0)),T>t0>0 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr, t≥0.
研究如下形式具有随机周期移民扰动的非线性种群发展方程的非局部柯西问题,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0t0>0 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr这里,其他地区的种群迁入项f以及非局部条件项g为紧算子,且f是时间变量t的周期为T的周期函数。
5) weighted Cauchy-type problem
加权型柯西问题
6) abstract Cauchy problem
抽象柯西问题
1.
n-times integrated C-semigroups and abstract cauchy problem;
n次积分C半群与抽象柯西问题的强解
2.
We also investigate the relations of n-times integrated C-semigroups and the strong solution of corresponding non-homogeneous abstract Cauchy problem, and the representation of strong solution.
引入了主算子为n次积分C半群生成元的线性非齐次抽象柯西问题强解的概念,讨论了相应抽象柯西问题存在强解的一些充分必要条件及强解的表示式。
3.
We prove the one-to-one correspondence between mild solutions of a linear partial differential equation with delay and mild solutions of an associated abstract Cauchy problem, and give necessary and sufficient conditions for existence and uniqueness of mild solutions of the linear partial differential equation.
证明了一类线性时滞偏微分方程的mild解与相应的抽象柯西问题的mild解一一对应,并且给出了此类线性时滞偏微分方程的mild解存在唯一的充要条件。
补充资料:悟南柯 景金本注云,三首本名南柯子 西虢
【诗文】:
白露三秋尽,清霜十月初。群花零落共萧疏。唯有重阳,嘉景独魁梧。烂漫真堪爱,馨香不可辜。人人皆插满头敷。试问乔公,簪著一枝无。
【注释】:
【出处】:
白露三秋尽,清霜十月初。群花零落共萧疏。唯有重阳,嘉景独魁梧。烂漫真堪爱,馨香不可辜。人人皆插满头敷。试问乔公,簪著一枝无。
【注释】:
【出处】:
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