论文信息 - An existence theorem for ordinary differential equations in Banach spaces

An existence theorem for ordinary differential equations in Banach spaces

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.

Bogdan Rzepecki | B. Rzepecki

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