An existence result for a functional dif
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Mustapha Yebdri; Fadela Nigro
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Article
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2009
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Elsevier Science
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English
β 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 β [-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