On the opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations
Malkhaz Ashordia (2016)
Mathematica Bohemica
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The Cauchy problem for the system of linear generalized ordinary differential equations in the J. Kurzweil sense , with a unique solution is considered. Necessary and sufficient conditions are obtained for a sequence of the Cauchy problems , to have a unique solution for any sufficiently large such that uniformly on . Presented results are analogous to the sufficient conditions due to Z. Opial for linear ordinary differential systems....