Solution of Cauchy's functional equation on a restricted domain
Józef Tabor (1975)
Colloquium Mathematicae
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Displaying similar documents to “On a functional equation related to the Cauchy equation”
Solution of Cauchy's functional equation on a restricted domain
Cauchy's functional equation on a restricted domain
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Remark on the Cauchy functional equation.
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Ramon Badora (1992)
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Hernán R. Henríquez, Eduardo Hernández M. (2006)
Annales Polonici Mathematici
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We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
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Janusz Brzdek (1993)
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Halina Swiatak (1981)
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Maciej Sablik (1987)
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On the local Cauchy problem for first order partial differential functional equations
Elżbieta Puźniakowska-Gałuch (2010)
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A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can...