On a boundary value problem for scalar linear functional differential equations

Theorems on the Fredholm alternative and well-posedness of the linear boundary value problem u′(t)=ℓ(u)(t)+q(t), h(u)=c, where ℓ:C([a,b];ℝ)→L([a,b];ℝ) and h:C([a,b];ℝ)→ℝ are linear bounded operators, q∈L([a,b];ℝ), and c∈ℝ, are established even in the case when ℓ is not a strongly bounded operator. T...

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Bibliographic Details
Main Authors: R. Hakl, A. Lomtatidze, I. P. Stavroulakis
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504309061