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

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Abstract In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore,… Click to show full abstract

Abstract In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore, we prove our results concerning boundedness of solutions for dynamic equations on time scales, using the fact that these equations represent a particular case of measure differential equations.

Keywords: time scales; boundedness solutions; differential equations; dynamic equations; equations time; measure differential

Journal Title: Journal of Differential Equations
Year Published: 2017

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