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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Displaying similar documents to “Uniqueness of the solution of the Cauchy problem to some equations of nonstationary filtration”
On the uniqueness of initial-value problems for partial differential equations of the first order
On the Cauchy problem for the equation of one-dimensional non-stationary filtration with non-continuous initial data
Tadeusz Śliwa (1981)
Colloquium Mathematicae
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The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
T. Jankowski, M. Kwapisz (1972)
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.
The Cauchy Problem and Hadamard's Example
Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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Another note on Cauchy-regular functions.
Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Some remarks on the interface in the filtration problem
Tadeusz Śliwa (1980)
Colloquium Mathematicae
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Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Integral formulas related to ovals.
Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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A note on uniqueness of Cauchy problems associated to planar Hamiltonian systems.
Rebelo, C. (2000)
Portugaliae Mathematica
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Algorithms for direct obtaining Cauchy's solutions for systems of differential equations of higer order
M. Stojanović (1974)
Matematički Vesnik
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A uniqueness theorem for monogenic functions.
Winkler, Jörg (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Non-Uniqueness and Uniqueness in the Cauchy Problem at Simple Characteristic Points.
Jan Persson (1973)
Mathematische Annalen
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The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity
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.