On consequences of certain boundary conditions on the unit circle
Gabriela Adamczyk (2000)
Mathematica Bohemica
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Displaying similar documents to “Approximation of solutions of Dirichlet's problem on nearly circular domains and their application in numerical methods”
On consequences of certain boundary conditions on the unit circle
Note on the Stokes Formula for 2-Dimensional Integrals in -Space
Josef Král, Beloslav Riečan (1962)
Matematicko-fyzikálny časopis
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Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra
Jan Ligęza (1998)
Mathematica Bohemica
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In this paper first order linear ordinary differential equations are considered. It is shown that the Cauchy problem for these systems has a unique solution in , where denotes the Colombeau algebra.
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.
Transitivity and partial order
Jiří Klaška (1997)
Mathematica Bohemica
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In this paper we find a one-to-one correspondence between transitive relations and partial orders. On the basis of this correspondence we deduce the recurrence formula for enumeration of their numbers. We also determine the number of all transitive relations on an arbitrary -element set up to .