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The Taylor method in the field of Mikusiński operators. (English) Zbl 1354.45004

Summary: The approximate solution of a class of differential equations, in the field of Mikusiński operators is constructed by using the Taylor method. The obtained results are applied to a class of partial integro-differential equations.

MSC:

45J05 Integro-ordinary differential equations
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References:

[1] Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic Publishers, Dordrecht/ Boston/London, 1996.
[2] Operational Calculus, Vol. I, PWN - Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford, 1983. · Zbl 0532.44004
[3] Operational Calculus, Vol. II, PWN - Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford, 1987. · Zbl 0625.44005
[4] The approximate solution of nonlinear equations, Publicationes Mathematicae Debrecen, to appear in 2004.
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