All solutions of system of ill-posed operator equations of the first kind

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摘要

In this paper, we discuss the structure of the solution space of system of operator equations of the first kind Aiu = fi, i = 1,2, …, n in Hilbert spaces. If it has solutions, we give the analytic representation of all its solutions. Final examples show our methods are effective.

论文关键词:Ill-posed operator equation,Analytic solutions,Reproducing kernel

论文评审过程:Available online 18 August 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.04.040