On consequences of certain boundary conditions on the unit circle
Gabriela Adamczyk (2000)
Mathematica Bohemica
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Gabriela Adamczyk (2000)
Mathematica Bohemica
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S. Ombrosi, L. de Rosa (2003)
Publicacions Matemàtiques
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František Rublík (1995)
Kybernetika
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Štefan Schwabik (2000)
Mathematica Bohemica
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This paper is a continuation of []. In [] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.
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.
Josef Král, Beloslav Riečan (1962)
Matematicko-fyzikálny časopis
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