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An existence theorem for ordinary differential equations in Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove the existence of bounded solution of the differential equation y′ = A(t)y + f(t, y) in a Banach space. The method used here is based on the concept of “admissibility” due to Massera and Schäffer when f satisfies the Caratheodory conditions and some regularity condition expressed in terms of the measure of noncompactness α.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 30 , Issue 3 , December 1984 , pp. 449 - 456
- Copyright
- Copyright © Australian Mathematical Society 1984
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