On the existence and uniqueness of solutions of some partial differential functional equations
Zdzisław Denkowski, Andrzej Pelczar (1978)
Annales Polonici Mathematici
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Displaying similar documents to “Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order”
On the existence and uniqueness of solutions of some partial differential functional equations
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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Z. Kamont (1977)
Annales Polonici Mathematici
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Andrzej Fryszkowski (1985)
Annales Polonici Mathematici
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T. Jankowski (1983)
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On a functional equation related to the Cauchy equation
Pl. Kannappan, M. Kuczma (1974)
Annales Polonici Mathematici
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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.
Investigation of the existence and uniqueness of differentiable solutions of a functional equation
B. Choczewski (1964)
Annales Polonici Mathematici
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Existence and continuous dependence for a class of neutral functional differential equations
Loris Faina (1996)
Annales Polonici Mathematici
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A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.
Cauchy's functional equation on a restricted domain
Marek Kuczma (1973)
Colloquium Mathematicae
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Józef Tabor (1975)
Colloquium Mathematicae
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