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1)  generalized abstract Cauchy problem
广义抽象柯西问题
2)  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。
3)  generalized Abstract Cauchy problems
广义抽象Cauchy问题
1.
Wellposedness of generalized Abstract Cauchy problems
广义抽象Cauchy问题的适定性
4)  second order abstract Cauchy problems
二阶抽象柯西问题
1.
We also give the definitions of solution space and Hille-Yosida space for noncompletely abstract Cauchy problems and show that noncompletely abstract Cauchy problems on its Hille-Yosida space is automatically wellposed, which generalizes deLaubenfels s corresponding results on first ordern- abstract Cauchy problems to second order abstract Cauchy problems.
在本文中,我们定义了完全二阶抽象柯西问题的温和C-存在族。
5)  nonlocal abstract Cauchy problem
非局部抽象柯西问题
1.
It was widely used in many fields such as Schrodinger equation, heat equation and nonlocal abstract Cauchy problem.
该理论可以用在很多实际问题中,例如量子力学中的Schrodinger方程,热传导方程,以及非局部抽象柯西问题。
6)  abstract generalized vector equilibrium problems
抽象广义矢量平衡问题
1.
By applying these results,we prove some new existence theorems of equilibrium points for abstract generalized vector equilibrium problems.
在不具有任何凸性结构和线性结构的有限连续空间(简称,FC-空间)中引入了新的FC- KKM(X,Y)集值映射类,证明了一些新的KKM型定理和重合点定理,并运用这些结论证明了FC-空间中抽象广义矢量平衡问题平衡点的存在性。
补充资料:广义特征值问题数值解法
      见代数特征值问题数值解法。
  

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