Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

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.

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MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11

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Bochner-Hecke Theorems for the Weinstein Transform and Application

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MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37

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MSC 2010: 30C45, 30C50