The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Displaying similar documents to “An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle”
The Non Linear Cauchy Problem Of Operator Differential Equations
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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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.
Abstract version of the Cauchy-Kowalewski problem
Oleg Zubelevich (2004)
Open Mathematics
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We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.
Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Another note on Cauchy-regular functions.
Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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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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Holomorphic solutions of an inhomogeneous Cauchy equation.
Luigi Paganoni, S. Paganoni Martegalli (1989)
Aequationes mathematicae
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Integral formulas related to ovals.
Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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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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Algorithms for direct obtaining Cauchy's solutions for systems of differential equations of higer order
M. Stojanović (1974)
Matematički Vesnik
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On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Uniqueness of the solution of the Cauchy problem to some equations of nonstationary filtration
T. Śliwa (1988)
Applicationes Mathematicae
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The regularity series of a Cauchy space.
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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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.