On the opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations

The Cauchy problem for the system of linear generalized ordinary differential equations in the J. Kurzweil sense ${\rm d} x(t)={\rm d} A_0(t)\cdot x(t)+{\rm d} f_0(t)$, $x(t_0)=\nobreak c_0$ $(t\in I)$ with a unique solution $x_0$ is considered. Necessary and sufficient conditions are obtained for a...

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Bibliographic Details
Main Author: Malkhaz Ashordia
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/2/mb141_2_6.pdf