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Displaying similar documents to “Exact solutions of Cauchy problem for partial differential equations with double characteristics and singular coefficients”

md H=md H

Раде Живалевич (1979)

Publications de l'Institut Mathématique

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On systems of linear algebraic equations in the Colombeau algebra

Jan Ligęza, Milan Tvrdý (1999)

Mathematica Bohemica

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From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra ¯ of generalized real numbers. It is worth mentioning that the algebra ¯ is not a field.

Reflection and a mixed boundary value problem concerning analytic functions

Eva Dontová, Miroslav Dont, Josef Král (1997)

Mathematica Bohemica

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A mixed boundary value problem on a doubly connected domain in the complex plane is investigated. The solution is given in an integral form using reflection mapping. The reflection mapping makes it possible to reduce the problem to an integral equation considered only on a part of the boundary of the domain.