Distributional, differential and integral problems: equivalence and existence results

We are interested in studying the matter of equivalence of the following problems: \[ \begin{aligned} Dx&=f(t,x)Dg\nonumber \\ x(0)&=x_0 \end{aligned}\tag{1} \label{1a} \] where $Dx$ and $Dg$ stand for the distributional derivatives of $x$ and $g$, respectively; \[ \begin{aligned} x'...

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Bibliographic Details
Main Authors: Giselle Monteiro, Bianca Satco
Format: Article
Language:English
Published: University of Szeged 2017-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4753