Separation of variables in the problems of normal and compact solvability of the exterior derivation operator.
Kuz'minov, V.I., Shvedov, I.A. (2000)
Siberian Mathematical Journal
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Kuz'minov, V.I., Shvedov, I.A. (2000)
Siberian Mathematical Journal
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Glotko, N.V., Kuz'minov, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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Lyantse, W.E., Kudrik, T.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Pyatkov, S.G., Abasheeva, N.L. (2002)
Sibirskij Matematicheskij Zhurnal
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Konovalov, A.N. (2000)
Siberian Mathematical Journal
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Min Ku, Uwe Kähler, Paula Cerejeiras (2012)
Archivum Mathematicum
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In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present...
Mel'nikova, I.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Ayupov, Sh.A., Omirov, B.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Arnautov, V.I., Filippov, K.M. (2001)
Sibirskij Matematicheskij Zhurnal
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Uskova, N.B. (2000)
Sibirskij Matematicheskij Zhurnal
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Wysocki, Hubert, Zellma, Marek (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.