Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Existence of approximate solution to abstract nonlocal Cauchy problem.”
Uniqueness criterion for solution of abstract nonlocal Cauchy problem.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Byszewski, Ludwik (1999)
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On a mild solution of a semilinear functional-differential evolution nonlocal problem.
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Balachandran, K., Chandrasekaran, M. (1997)
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Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.
Kołodziej, Katarzyna (2000)
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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.
An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
W. Tutschke (1986)
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Nonlinear differential equations and algebraic systems.
Williams, Lloyd K. (1978)
International Journal of Mathematics and Mathematical Sciences
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An Application Of The Theory Of Scale Of Banach Spaces
Łukasz Dawidowski (2015)
Annales Mathematicae Silesianae
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The abstract Cauchy problem on scales of Banach space was considered by many authors. The goal of this paper is to show that the choice of the space on scale is significant. We prove a theorem that the selection of the spaces in which the Cauchy problem ut − Δu = u|u|s with initial–boundary conditions is considered has an influence on the selection of index s. For the Cauchy problem connected with the heat equation we will study how the change of the base space influents the regularity...
Abstract Cauchy problem
Sova, M.
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Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
Hernán R. Henríquez, Eduardo Hernández M. (2006)
Annales Polonici Mathematici
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We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations
Kunihiko Kajitani (2000)
Journées équations aux dérivées partielles
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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.