Effective solutions of some dual integral equations and their applications

• Autorzy: Elena Obolashvili
• Języki publikacji: EN

Abstrakty

EN

Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 251-257

Daty

wydano

1996

Twórcy

autor

Elena Obolashvili

• Institute of Mathematics, Georgian Academy of Sciences, Tbilisi, Georgia

Bibliografia

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• [2] F. D. Berkovic, An integral equation on the semi-axis, Izv. Vyssh. Uchebn. Zaved. Mathem. 1966 no. 1 (50), 3-14. (Russian).
• [3] F. D. Gakhov, U. I. Cherski, Equations of convolution type, (Russian), 'Nauka', Moscow, 1978.
• [4] N. I. Muskhelishvili, Singular integral equations, Groningen, Noordhoff, 1963.
• [5a] E. I. Obolashvili, Nonlocal problems for some partial differential equations, Applicable Analysis, vol. 45, 1992, 269-280.
• [5b] E. I. Obolashvili, Nonlocal problems for the Beltrami Equation and Polyharmonic Functions, Proceedings devoted to N. I. Muskhelishvili's anniversary, Tbilisi 1994.
• [6] V. V. Sobolev, Diffuse irradiation in a medium with mirror reflection boundaries, DAN SSSR 136 (1961) 571-574 (Russian).
• [7] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford 1950.