On the uniqueness of initial-value problems for partial differential equations of the first order
P. Besala (1983)
Annales Polonici Mathematici
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P. Besala (1983)
Annales Polonici Mathematici
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T. Śliwa (1988)
Applicationes Mathematicae
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Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Tadeusz Śliwa (1981)
Colloquium Mathematicae
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J. Ligęza (1975)
Colloquium Mathematicae
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Yu G. Rykov (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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T. Jankowski, M. Kwapisz (1972)
Annales Polonici Mathematici
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
M. Stojanović (1974)
Matematički Vesnik
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W. Tutschke (1986)
Matematički Vesnik
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