On a boundary value problem for nonlinear functional differential equations

We consider the problem u′(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)→L([a,b];R) are, in general, nonlinear continuous operators, H∈ℋabαβ(g0,g1,p0,p1), and h:C([a,b];R)→R is a continuous functional. Efficient conditions sufficient for the solvability and uniqu...

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Bibliographic Details
Main Author: Robert Hakl
Format: Article
Language:English
Published: SpringerOpen 2005-11-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP.2005.263