Existence and impulsive stability for second order retarded differential equations

Authors:
L. P. Gimenes;M. Federson
Affiliations:
Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, SP, Brazil;Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, SP, Brazil
Venue:
Applied Mathematics and Computation
Year:
2006

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Abstract

We consider certain impulsive second order delay differential equations and give conditions for the existence of solutions. Moreover we prove that the non-impulsive equations can be stabilized by the imposition of proper impulse controls generalizing recent results by Li and Weng. We also comment on some possible applications and give examples.