EXISTENCE OF BOUNDED SOLUTIONS FOR INHOMOGENEOUS LINEAR DELAY EQUATIONS
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In this paper, we consider a non-autonomous inhomogeneous linear retarded functional di erential equations where the forcing term is a bounded continuous function. We show that a sucient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.
Abstract
In this paper, we consider a non-autonomous inhomogeneous linear retarded functional di erential equations where the forcing term is a bounded continuous function. We show that a sucient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.
참고문헌 (17)
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