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An Existence Result on a Volterra Equation in a Banach Space

✍ Scribed by Stig-Olof Londen


Book ID
125680186
Publisher
American Mathematical Society
Year
1978
Tongue
English
Weight
471 KB
Volume
235
Category
Article
ISSN
0002-9947

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An existence result for a functional dif
✍ Mustapha Yebdri; Fadela Nigro πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 369 KB

We use the nonlinear alternative and topological transversality to prove an existence theorem for the solutions of the functional differential equation αΊ‹(t) = F (t, x t ), where x t (ΞΈ ) = x(t + ΞΈ ) for all ΞΈ ∈ [-r, 0] and F : [0, A] Γ— X 2 β†’ X , X is a Banach space and X 2 is the Banach space of con