Inverse Vector Function Hilbert Boundary Value Problem
Pure and Applied Mathematics Journal
Volume 5, Issue 5, October 2016, Pages: 160-164
Received: Aug. 28, 2016;
Accepted: Sep. 9, 2016;
Published: Sep. 28, 2016
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Ding Yun, Department of Mathematics, Dalian Maritime University, Dalian, P. R. China
Yang Xiaochun, Department of Mathematics, Dalian Maritime University, Dalian, P. R. China
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In the paper, how to solve an irregular vector function Hilbert boundary value inverse problem is discussed in generalization. In the solving, some diagonal matrices are introduced for helping to regulate those equations of Hilbert boundary value problem. Then, the solution of the problem is given.
Vector Function, Irregular, Inverse Problem, Hilbert Boundary Value Problem, General Solution
To cite this article
Inverse Vector Function Hilbert Boundary Value Problem, Pure and Applied Mathematics Journal.
Vol. 5, No. 5,
2016, pp. 160-164.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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Lu jianke. Boundary Value Problem of Analytic Function [M]. Shanghai: Shanghai science and technology public house, 1987, 334-388 (in Chinese).
И. I. Muskhelishvili. Singular Integral Equations [M]. Shanghai: Shanghai science and technology public house, 1966 (in Chinese).
F. D. Gakhov. Boundary Value Problem [M] New York: Dover Publication, Inc. New York, 1971.43-290; 400-485.
K. M. Case. Singular integral equations [J], J. Math. Phy. 1966, 7 (12), 2121-2134.
Yang Xiaochun. A class of regular functions inverse problem of Riemann Boundary value problem. [J]. Journal of Ningxia university (Natural of Science), 1996, 17 (1): 5 (in Chinese).
Li Yubo. Irregular Riemann boundary value problem and its applied of the solving singular integral equation with Hilebert kennel (I) [J]. Transaction of Wuhan university (Natural of Science) (in Chinese), 1984, 1:1.
Du Jinyuan. On the trigonometric polynomials interpolating approximate solutions of singular intergral equations with Hilbert kernel. Intergral Equations and Boundary Value Problems [M] (ed. by G. C. Wen, Z. Zhao). Singgapore: World Scientific, 1991, 26-33.
Ding Yun. Non-regular Riemann Boundary Value Problem of Equations, Journal of Ningxia University (natural Science edition), Vol. 28 No. 4, 2007, 305~307 (in Chinese).
Ding Yun, Yang Xiaochun. Non-regular Riemann-Hilbert Boundary Value Problem of Equations, Journal of Dalian Nationalities University，Vol. 10 (5), 2008, 432-434.
I. N. VEKUA. Systems of singular integral equations [M]. Shanghai: Shanghai science and technology public house, 1963 (in Chinese).
Ding Yun, Yang Xiaochun. Research of the Canonical Function Matrix of the Functions of Riemann Boundary Value Problem. Advances in Information and Systems Sciences, Vol. 3 2009, 423~429.
Ding Yun, Yang Xiaochun. Vector Function Inverse Riemann Boundary Value Problem and Its Solving [J], British Journal of Mathematics and Computer Science, 12 (3), 1-9, 2016 (Article no.BJMCS. 20274).