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Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations
Author(s) -
Afonso S. M.,
Bonotto E. M.,
Federson M.,
Gimenes L. P.
Publication year - 2012
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.201000081
Subject(s) - mathematics , impulse (physics) , ordinary differential equation , mathematical analysis , differential equation , variable (mathematics) , differential algebraic equation , physics , quantum mechanics
In this paper, we give sufficient conditions for the uniform boundedness and uniform ultimate boundedness of solutions of a class of retarded functional differential equations with impulse effects acting on variable times. We employ the theory of generalized ordinary differential equations to obtain our results. As an example, we investigate the boundedness of the solution of a circulating fuel nuclear reactor model.