跳至主要内容

A Kind of Doubly Periodic Riemann Boundary Value Problem on Two Parallel Curves

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52403#.VJOW_cCAM4

We proposed a kind of doubly periodic Riemann boundary value problem on two parallel curves. By using the method of complex functions, we investigated the method for solving this kind of doubly periodic Riemann boundary value problem of normal type and gave the general solutions and the solvable conditions for it.
Cite this paper
Cao, L. , Li, X. and Lin, C. (2014) A Kind of Doubly Periodic Riemann Boundary Value Problem on Two Parallel Curves. Advances in Pure Mathematics, 4, 627-634. doi: 10.4236/apm.2014.412071. 
 

[1] Balk, M.B. (1991) Polyanalytic Functions. Akademie Verlag, Berlin.
[2] Begehr, H. and Kumar, A. (2005) Boundary Value Problems for the Inhomogeneous Polyanalytic Equation I. Analysis: International Mathematical Journal of Analysis and its Application, 25, 55-71.
[3] Du, J.Y. and Wang, Y.F. (2003) On Boundary Value Problems of Polyanalytic Functions on the Real Axis. Complex Variables, 48, 527-542. http://dx.doi.org/10.1080/0278107031000103412
[4] Fatulaev, B.F. (2001) The Main Haseman Type Boundary Value Problem for Metaanalytic Function in the Case of Circular Domains. Mathematical Modelling and Analysis, 6, 68-76.
[5] Lu, J.K. (1993) Boundary Value Problems for Analytic Functions. World Scientific, Singapore.
[6] Mshimba, A.S. (2002) A Mixed Boundary Value Problem for Polyanalytic Function of Order n in the Sobolev Space Wn, p(D). Complex Variables, 47, 278-1077.
[7] Muskhelishvili, N.I. (1993) Singular Integral Equations. World Scientific, Singapore.
[8] Wanf, Y.F. and Du, J.Y. (2006) Hilbert Boundary Value Problems of Polyanalytic Functions on the Unit Circumference. Complex Variables and Elliptic Equations, 51, 923-943.
http://dx.doi.org/10.1080/17476930600667692
[9] Xing, L. (1995) A Class of Periodic Riemann Boundary Value Inverse Problems. Proceedings of the Second Asian Mathematical Conference, Nakhon Ratchasima, October 1995, 397-400.
[10] Wang, M.H. (2006) Inverse Riemann Boundary Value Problems for Generalized Analytic Functions. Journal of Ningxia University of Natural Resources and Life Sciences Education, 27, 18-24.
[11] Wen, X.Q. and Li, M.Z. (2004) A Class of Inverse Riemann Boundary Value Problems for Generalized Holomorphic Functions. Journal of Mathematical, 24, 457-464.
[12] Cao, L.X., Li, P.-R. and Sun, P. (2012) The Hilbert Boundary Value Problem With Parametric Unknown Function on Upper Half-Plane. Mathematics in Practice and Theory, 42, 189-194.
[13] Cao, L.X. (2013) Riemann Boundary Value Problem of Non-Normal Type on the Infinite Straight Line. Applied Mathematics, 4, 1126-1230.
[14] Balk, M.B. (1991) Polyanalytic Functions. Akademie Verlag, Berlin.
[15] Begehr, H. and Kumar, A. (2005) Boundary Value Problems for the Inhomogeneous Polyanalytic Equation I. Analysis: International Mathematical Journal of Analysis and its Application, 25, 55-71.
[16] Du, J.Y. and Wang, Y.F. (2003) On Boundary Value Problems of Polyanalytic Functions on the Real Axis. Complex Variables, 48, 527-542. http://dx.doi.org/10.1080/0278107031000103412
[17] Fatulaev, B.F. (2001) The Main Haseman Type Boundary Value Problem for Metaanalytic Function in the Case of Circular Domains. Mathematical Modelling and Analysis, 6, 68-76.
[18] Lu, J.K. (1993) Boundary Value Problems for Analytic Functions. World Scientific, Singapore.
[19] Mshimba, A.S. (2002) A Mixed Boundary Value Problem for Polyanalytic Function of Order n in the Sobolev Space Wn, p(D). Complex Variables, 47, 278-1077.
[20] Muskhelishvili, N.I. (1993) Singular Integral Equations. World Scientific, Singapore.
[21] Wanf, Y.F. and Du, J.Y. (2006) Hilbert Boundary Value Problems of Polyanalytic Functions on the Unit Circumference. Complex Variables and Elliptic Equations, 51, 923-943.
http://dx.doi.org/10.1080/17476930600667692
[22] Xing, L. (1995) A Class of Periodic Riemann Boundary Value Inverse Problems. Proceedings of the Second Asian Mathematical Conference, Nakhon Ratchasima, October 1995, 397-400.
[23] Wang, M.H. (2006) Inverse Riemann Boundary Value Problems for Generalized Analytic Functions. Journal of Ningxia University of Natural Resources and Life Sciences Education, 27, 18-24.
[24] Wen, X.Q. and Li, M.Z. (2004) A Class of Inverse Riemann Boundary Value Problems for Generalized Holomorphic Functions. Journal of Mathematical, 24, 457-464.
[25] Cao, L.X., Li, P.-R. and Sun, P. (2012) The Hilbert Boundary Value Problem With Parametric Unknown Function on Upper Half-Plane. Mathematics in Practice and Theory, 42, 189-194.
[26] Cao, L.X. (2013) Riemann Boundary Value Problem of Non-Normal Type on the Infinite Straight Line. Applied Mathematics, 4, 1126-1230.   eww141219lx
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文