
handle: 11104/0238228
We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite delay. We obtain new results concerning the existence, uniqueness, and continuous dependence of solutions. Even for equations with a finite delay, our results are stronger than the existing ones. Finally, we present an application to functional differential equations with impulses.
infinite delay, Linear functional-differential equations, measure functional differential equations, Functional-differential equations with impulses, generalized ordinary differential equations, Kurzweil-Stieltjes integral, Functional-differential equations in abstract spaces
infinite delay, Linear functional-differential equations, measure functional differential equations, Functional-differential equations with impulses, generalized ordinary differential equations, Kurzweil-Stieltjes integral, Functional-differential equations in abstract spaces
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