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

Federson M. | Zendy; Grau R. | Zendy; Mesquita J. G. | Zendy

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

Author(s) -

Federson M.,

Grau R.,

Mesquita J. G.

Publication year - 2019

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201700420

Subject(s) - mathematics , measure (data warehouse) , uniqueness , dynamic equation , differential equation , numerical partial differential equations , mathematical analysis , ordinary differential equation , independent equation , prolongation , delay differential equation , differential algebraic equation , simultaneous equations , nonlinear system , physics , database , quantum mechanics , computer science , medicine , cardiology

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.

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