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Prolongation of solutions of measure differential equations and dynamic equations on time scales

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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… Click to show full 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: time scales; solutions measure; differential equations; dynamic equations; equations time; measure differential

Journal Title: Mathematische Nachrichten
Year Published: 2019

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