Generalized characteristic singular integral equation with Hilbert kernel

• Autorzy: Karczmarek P.
• Języki publikacji: EN

Abstrakty

EN

In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.

Słowa kluczowe

EN

singular integral equation; characteristic equation; exact solution; Hilbert kernel

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 3
• Strony: 287--294
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Karczmarek P.

• The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, al. Raclawickie 14, 20-950 Lublin, Poland,

Bibliografia

• [1] R. Estrada, R.P. Kanwal, Singular integral equations, Birkhäuser, Boston, 2000.
• [2] F.D. Gakhov, A case of the Riemann boundary value problem for a system of n pairs of functions, Izv. Akad. Nauk SSSR 14/6 (1950), 549–568.
• [3] F.D. Gakhov, Boundary Value Problems, Nauka, Moscow, 1963.
• [4] P. Karczmarek, M.A. Sheshko, Solution of a generalized characteristic integral equation with Hilbert kernel, Conference “Analysis & Partial Differential Equations” in honor of Professor Bogdan Bojarski, Bedlewo, 2006
• [5] I.K. Lifanov, The method of singular integral equations and numerical experiment, Yanus, Moscow, 1995.
• [6] N.I. Muskhelishvili, Singular Integral Equations, Nauka, Moscow, 1968.
• [7] M. Sheshko, Singular Integral Equations with Cauchy and Hilbert Kernels and Theirs Approximated Solutions, Catholic University of Lublin, Lublin, 2003.
• [8] M.A. Sheshko, D.S. Shulyaev, On exact and approximate solutions of a system of singular integral equations with Hilbert kernel, Differ. Equ. 34 (1998) 9, 1231–1239.
• [9] D.S. Shulyaev, Simple method of solution of a system of singular integral equations with Hilbert kernel, Ph.D. Dissertation, Minsk, 1999.
• [10] N.P. Vekua, Systems of Singular Integral Equations, Nauka, Moscow, 1970.