Abstract
In the present paper, the authors announce a newly-proved theorem of theirs. This theorem is of principal significance to numerical computation of solutions of variational equations.
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References
Yosida K.Functional Analysis. 6th ed. Berlin Heidelberg: Springer-Verlag, 1980.
Tikhonov A, Arsenin V.Solution of Ill-Posed Problems. New York: Wiley, 1977.
Nashed M Z.Generalized Inverses and Applications. New York, San Francisco, London: Academic Press, 1976.
Morozov V.Methods for Solving Incorrectly Posed Problems. New York: Springer-Verlag, 1984.
Zeidler E.Nonlinear Functional Analysis and Its Applications III. New York, Berlin, Heidelberg, Tokyo: Springer-verlag, 1985.
Wang Guo-rong.Generalized Inverses of Matrices and Operators. Beijing: Science Publishing House (of China), 1994(Ch).
Hou Zong-yi, Li He-nong. The General Arcangeli's Method for Solving Ill-Posed Problems.Nonlinear Analysis, Theory, Methods & Application, 1993,21(3):197–206.
Du Nai-lin, Zeng Xian-wu. A Note on the Principal Theorems in the Theory of Functional Analysis.Wuhan Univ Journal of Natural Sciences, 1997,2(2):152–154.
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Biography: Du Nai-lin (1962-), male, Ph. D, Associate professor, research direction: partial differential equations, ordinary differential equations, applied functional analysis.
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Nai-lin, D., Nai-xia, D. A principal theorem of generalized Galerkin's schemes. Wuhan Univ. J. Nat. Sci. 7, 137–138 (2002). https://doi.org/10.1007/BF02830300
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DOI: https://doi.org/10.1007/BF02830300