Prolongation of solutions of measure differential equations and dynamic equations on time scales
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DOI: 10.1002/mana.201700420
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… read more here.
Keywords: time scales; solutions measure; differential equations; dynamic equations ... See more keywords
Boundedness of solutions of measure differential equations and dynamic equations on time scales
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DOI: 10.1016/j.jde.2017.02.008
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… read more here.
Keywords: time scales; boundedness solutions; differential equations; dynamic equations ... See more keywords
Practical stability of nonlinear measure differential equations
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DOI: 10.1016/j.nahs.2018.05.010
Abstract: Abstract The paper investigates the practical stability of nonlinear measure differential equations. We first introduce the concepts of the practical stability and the practically asymptotic stability for measure differential equations. Then inspired by the proof… read more here.
Keywords: stability nonlinear; differential equations; practical stability; stability ... See more keywords