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Prolongation of solutions of measure differential equations and dynamic equations on time scales
Authors:M Federson  R Grau  J G Mesquita
Abstract:In this paper, we prove the results on existence and uniqueness of the maximal solutions for measure differential equations, considering more general conditions on functions f and g by using the correspondence between the solutions of these equations and the solutions of generalized ODEs. Moreover, we prove these results for the dynamic equations on time scales, using the correspondence between the solutions of these last equations and the solutions of the measure differential equations.
Keywords:dynamic equations on time scales  generalized ordinary differential equations  Kurzweil–  Henstock–  Stieltjes integral  maximal solutions  measure differential equations  prolongation  28E05  34A12  34N05
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