On a functional equation related to the Cauchy equation
Pl. Kannappan, M. Kuczma (1974)
Annales Polonici Mathematici
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Displaying similar documents to “On the Cauchy problem for linear partial differential-functional equations of first order”
On a functional equation related to the Cauchy equation
Solution of Cauchy's functional equation on a restricted domain
Józef Tabor (1975)
Colloquium Mathematicae
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Cauchy's functional equation on a restricted domain
Marek Kuczma (1973)
Colloquium Mathematicae
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Remark on the Cauchy functional equation.
Svetozar Kurepa (1965)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Existence of solutions of functional-differential inclusion in nonconvex case
Andrzej Fryszkowski (1985)
Annales Polonici Mathematici
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On the question of enclosing solutions of linear functional-differential systems.
Maksimov, V.P., Munembe, J.S.P. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Functional differential equations of the Cauchy-Kowalewsky type.
Wolfgang Walter (1985)
Aequationes mathematicae
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On the local Cauchy problem for first order partial differential functional equations
Elżbieta Puźniakowska-Gałuch (2010)
Annales Polonici Mathematici
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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...
On a joint generalization of Cauchy's and d'Alembert's functional equations.
Ramon Badora (1992)
Aequationes mathematicae
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Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
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.
On the Cauchy problem for linear PDEs with retarded arguments at derivatives
Krzysztof A. Topolski (2015)
Annales Polonici Mathematici
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We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.
On a generalization of the Cauchy functional equation.
Janusz Brzdek (1993)
Aequationes mathematicae
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On alternatives equivalent to the Cauchy functional equation and a related equation.
Halina Swiatak (1981)
Aequationes mathematicae
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Generalized Cauchy functional equation and characterizations of inner product spaces. (Summary).
Peter Semrl, Damijan Kobal (1992)
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Conjugacy of P-configurations and nonlinear solutions to a certain conditional Cauchy equation.
Shalit, Orr Moshe (2008)
Banach Journal of Mathematical Analysis [electronic only]
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