Uniqueness of the solution of the Cauchy problem to some equations of nonstationary filtration
T. Śliwa (1988)
Applicationes Mathematicae
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T. Śliwa (1988)
Applicationes Mathematicae
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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.
Tadeusz Śliwa (1981)
Colloquium Mathematicae
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Marija Skendžić (1970)
Publications de l'Institut Mathématique
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T. Jankowski, M. Kwapisz (1972)
Annales Polonici Mathematici
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J. Ligęza (1975)
Colloquium Mathematicae
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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.
Rebelo, C. (2000)
Portugaliae Mathematica
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Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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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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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Jan Persson (1973)
Mathematische Annalen
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M. Stojanović (1974)
Matematički Vesnik
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Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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Winkler, Jörg (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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