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An existence theorem for implicit differential equations in a Banach space

✍ Scribed by Tomás Dominguez Benavides


Book ID
112746610
Publisher
Springer
Year
1978
Tongue
English
Weight
674 KB
Volume
118
Category
Article
ISSN
0373-3114

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An existence result for a functional dif
✍ Mustapha Yebdri; Fadela Nigro 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 369 KB

We use the nonlinear alternative and topological transversality to prove an existence theorem for the solutions of the functional differential equation ẋ(t) = F (t, x t ), where x t (θ ) = x(t + θ ) for all θ ∈ [-r, 0] and F : [0, A] × X 2 → X , X is a Banach space and X 2 is the Banach space of con