On a class of differential equations in Banach space
Bogdan Rzepecki (1983)
Annales Polonici Mathematici
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Displaying similar documents to “An Application Of The Theory Of Scale Of Banach Spaces”
On a class of differential equations in Banach space
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.
Lifting results for sequences in Banach spaces
Manuel González Ortiz, Víctor M. Onieva Aleixandre (1988)
Extracta Mathematicae
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An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
W. Tutschke (1986)
Matematički Vesnik
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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 weak solutions of functional-differential abstract nonlocal Cauchy problems
Ludwik Byszewski (1997)
Annales Polonici Mathematici
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The existence, uniqueness and asymptotic stability of weak solutions of functional-differential abstract nonlocal Cauchy problems in a Banach space are studied. Methods of m-accretive operators and the Banach contraction theorem are applied.
Analyticity of the maximal solution of an abstract parabolic equation
Alessandra Lunardi (1981)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Studia l’analiticità della soluzione massimale di una equazione parabolica astratta in spazi di Banach.
Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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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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A note on the solutions of a second-order evolution inclusion in non separable Banach spaces
Aurelian Cernea (2017)
Commentationes Mathematicae Universitatis Carolinae
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We consider a Cauchy problem associated to a second-order evolution inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of mild solutions.
The Underdetermined Cauchy Problem in Banach Spaces.
H.O. Fattorini (1973)
Mathematische Annalen
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On the Cauchy problem for a degenerate parabolic differential equation.
El-Fiky, Ahmed (1998)
International Journal of Mathematics and Mathematical Sciences
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Existence of approximate solution to abstract nonlocal Cauchy problem.
Byszewski, L. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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The Kneser property for the abstract Cauchy problem
Hernán R. Henríquez, Genaro Castillo G. (2003)
Annales Polonici Mathematici
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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
The Cauchy Problem and Hadamard's Example
Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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