On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
Ivan Hlaváček (1971)
Aplikace matematiky
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Displaying similar documents to “Moment sequences and abstract Cauchy problems”
On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients
Ivan Hlaváček (1971)
Aplikace matematiky
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Laplace transform generation theorems and local Cauchy problems.
Müller, Claus (2004)
Abstract and Applied Analysis
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The Cauchy problem for systems through the normal form of systems and theory of weighted determinant
Waichiro Matsumoto (1998-1999)
Séminaire Équations aux dérivées partielles
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The author propose what is the principal part of linear systems of partial differential equations in the Cauchy problem through the normal form of systems in the meromorphic formal symbol class and the theory of weighted determinant. As applications, he choose the necessary and sufficient conditions for the analytic well-posedness ( Cauchy-Kowalevskaya theorem ) and well-posedness (Levi condition).
Approximation methods for solving the Cauchy problem
Cristinel Mortici (2005)
Czechoslovak Mathematical Journal
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In this paper we give some new results concerning solvability of the 1-dimensional differential equation with initial conditions. We study the basic theorem due to Picard. First we prove that the existence and uniqueness result remains true if is a Lipschitz function with respect to the first argument. In the second part we give a contractive method for the proof of Picard theorem. These considerations allow us to develop two new methods for finding an approximation sequence for...