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The convergence of the iterative approximation of the solutions of uniformly accretive operator equation by the modified Ishikawa and Mann iteration processes with error are.

研究实 Banach空间中一致Φ-强增生算子方程解的修改了的具误差的 Ishikawa迭代序列的收敛性问题。

By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed.

通过不动点指数理论,讨论了一类超线性算子方程的多重解问题。

Let Xand Y be different Banach spaces and 〓Lbe a bounded linear operator,thegeneralized condition number 〓and〓ABA=A,B〓L}are studied.

文章讨论了两类广义条件数的几种表达式,研究了这两类广义条件数之间的关系,并将它们用到算子方程的扰动估计中,推广了Demko[IV.1]中的结果。

To sum up, in the paper unified computational methods for solving notwell-posed continuous linear operator equation wore given and there are alsoconvenient for the physical problems.

综上所述,本文中关于不适定连续线性算子方程求解问题的研究,注意到各种物理问题求解的方便性,给出了解决此类问题的统一的计算方法。

With the cone theory and monotone iterative technique,the existence and uniqueness of the solution for the ordering symmetric contraction mixed monotone operator equations are studied,and the error estimations for the convergent iterative sequence are also given.

摘 要 利用锥理论和单调迭代技巧,研究序对称压缩的混合单调算子方程解的存在唯一性,并给出迭代序列收敛于解的误差估计。

According to some practical examples, this thesis gives the basic definition and uniform form of inverse problems and ill-posed problems, and then operator equation is got by discursion.

本文从一些实例出发,给出了反问题和不适定问题的基本概念及反问题的统一形式,从而得出了算子方程

Operator equitation has always been one of the more active branch in mathematical research.

算子方程历来是数学研究中较活跃的分支之一。

And to solve the linear problem is turned to obtain the solution of an operator equation equivalent to it.

相应线性方程的带积分边值条件的混合问题,则是通过求解与线性方程等价的算子方程解决的。

After reducing the problem to a nonlinear ill-posed operator equation,Newton type iterative methods were considered.

把问题归结为一个非线性不适定的算子方程后,考虑该方程的Newton型迭代方法。

Hence,when the solvability of one operator equation is proved,the existence results of many equations are obtained .

所以解决了一个算子方程解的存在性问题,也就解决了很多非线性方程解的存在性问题。

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