Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations
Copyright policy )Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations
AbstractIn 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.
- State University of Maringa Brazil
- Spanish National Research Council Spain
- Universidade de São Paulo Brazil
functional differential equations, Growth, boundedness, comparison of solutions to functional-differential equations, variable impulses, uniform ultimate boundedness, uniform boundedness, Functional-differential equations with impulses, Denjoy and Perron integrals, other special integrals, generalized ordinary differential equations, Lyapunov functionals
functional differential equations, Growth, boundedness, comparison of solutions to functional-differential equations, variable impulses, uniform ultimate boundedness, uniform boundedness, Functional-differential equations with impulses, Denjoy and Perron integrals, other special integrals, generalized ordinary differential equations, Lyapunov functionals
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