Inverse Vector Function Hilbert Boundary Value Problem

Ding Yun; Yang Xiaochun

doi:doi:10.11648/j.pamj.20160505.14

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Inverse Vector Function Hilbert Boundary Value Problem

Ding Yun, Yang Xiaochun

Published in Pure and Applied Mathematics Journal (Volume 5, Issue 5)

Received: 28 August 2016 Accepted: 9 September 2016 Published: 28 September 2016

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Abstract

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.

Published in	Pure and Applied Mathematics Journal (Volume 5, Issue 5)
DOI	10.11648/j.pamj.20160505.14
Page(s)	160-164
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Vector Function, Irregular, Inverse Problem, Hilbert Boundary Value Problem, General Solution

References

[1]	Lu jianke. Boundary Value Problem of Analytic Function [M]. Shanghai: Shanghai science and technology public house, 1987, 334-388 (in Chinese).
[2]	И. I. Muskhelishvili. Singular Integral Equations [M]. Shanghai: Shanghai science and technology public house, 1966 (in Chinese).
[3]	F. D. Gakhov. Boundary Value Problem [M] New York: Dover Publication, Inc. New York, 1971.43-290; 400-485.
[4]	K. M. Case. Singular integral equations [J], J. Math. Phy. 1966, 7 (12), 2121-2134.
[5]	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).
[6]	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.
[7]	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.
[8]	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).
[9]	Ding Yun, Yang Xiaochun. Non-regular Riemann-Hilbert Boundary Value Problem of Equations, Journal of Dalian Nationalities University，Vol. 10 (5), 2008, 432-434.
[10]	I. N. VEKUA. Systems of singular integral equations [M]. Shanghai: Shanghai science and technology public house, 1963 (in Chinese).
[11]	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.
[12]	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).

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APA Style

Ding Yun, Yang Xiaochun. (2016). Inverse Vector Function Hilbert Boundary Value Problem. Pure and Applied Mathematics Journal, 5(5), 160-164. https://doi.org/10.11648/j.pamj.20160505.14

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ACS Style

Ding Yun; Yang Xiaochun. Inverse Vector Function Hilbert Boundary Value Problem. Pure Appl. Math. J. 2016, 5(5), 160-164. doi: 10.11648/j.pamj.20160505.14

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AMA Style

Ding Yun, Yang Xiaochun. Inverse Vector Function Hilbert Boundary Value Problem. Pure Appl Math J. 2016;5(5):160-164. doi: 10.11648/j.pamj.20160505.14

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@article{10.11648/j.pamj.20160505.14,
  author = {Ding Yun and Yang Xiaochun},
  title = {Inverse Vector Function Hilbert Boundary Value Problem},
  journal = {Pure and Applied Mathematics Journal},
  volume = {5},
  number = {5},
  pages = {160-164},
  doi = {10.11648/j.pamj.20160505.14},
  url = {https://doi.org/10.11648/j.pamj.20160505.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160505.14},
  abstract = {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.},
 year = {2016}
}

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TY  - JOUR
T1  - Inverse Vector Function Hilbert Boundary Value Problem
AU  - Ding Yun
AU  - Yang Xiaochun
Y1  - 2016/09/28
PY  - 2016
N1  - https://doi.org/10.11648/j.pamj.20160505.14
DO  - 10.11648/j.pamj.20160505.14
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 160
EP  - 164
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20160505.14
AB  - 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.
VL  - 5
IS  - 5
ER  -

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Author Information

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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Plain Text BibTeX RIS

APA Style

Ding Yun, Yang Xiaochun. (2016). Inverse Vector Function Hilbert Boundary Value Problem. Pure and Applied Mathematics Journal, 5(5), 160-164. https://doi.org/10.11648/j.pamj.20160505.14

Copy | Download

ACS Style

Ding Yun; Yang Xiaochun. Inverse Vector Function Hilbert Boundary Value Problem. Pure Appl. Math. J. 2016, 5(5), 160-164. doi: 10.11648/j.pamj.20160505.14

Copy | Download

AMA Style

Ding Yun, Yang Xiaochun. Inverse Vector Function Hilbert Boundary Value Problem. Pure Appl Math J. 2016;5(5):160-164. doi: 10.11648/j.pamj.20160505.14

Copy | Download

@article{10.11648/j.pamj.20160505.14,
  author = {Ding Yun and Yang Xiaochun},
  title = {Inverse Vector Function Hilbert Boundary Value Problem},
  journal = {Pure and Applied Mathematics Journal},
  volume = {5},
  number = {5},
  pages = {160-164},
  doi = {10.11648/j.pamj.20160505.14},
  url = {https://doi.org/10.11648/j.pamj.20160505.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160505.14},
  abstract = {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.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Inverse Vector Function Hilbert Boundary Value Problem
AU  - Ding Yun
AU  - Yang Xiaochun
Y1  - 2016/09/28
PY  - 2016
N1  - https://doi.org/10.11648/j.pamj.20160505.14
DO  - 10.11648/j.pamj.20160505.14
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 160
EP  - 164
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20160505.14
AB  - 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.
VL  - 5
IS  - 5
ER  -

Copy | Download