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Non-autonomous scalar discontinuous ordinary differential equation |
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| Authors: | Piotr Pikuta Witold Rzymowski |
| Institution: | Instytut Matematyki UMCS, pl. M. Curie-Sk?odowskiej, 20-031 Lublin, Poland |
| Abstract: | In this paper we prove that the problem x′(t)=f(x(t))+h(t), x(0)=0, where f and h are non-negative, f is finite a.e. and  , h are Lebesgue integrable, has an absolutely continuous solution. |
| Keywords: | Discontinuous differential equations |
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