In this paper, we discuss the structure of the solution space of system of operator equations of the first kind Aiu = ƒi, 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.
Editor-in-Chief: Kabanikhin, Sergey I.
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The exact solutions of ill-posed operator equation
∗Department of Mathematics, Harbin Institute of Technology, Weihai Campus, Weihai, Shan Dong 264209, China (P.R.). E-mail: cmgyfs@263.net
†Department of Mathematics, Harbin Institute of Technology, Harbin, Hei Long Jiang 150001, China (P.R.)
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 5, Pages 425–434, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939405775297470,
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