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

Show more

References

[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.