On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations

Unimprovable efficient conditions are established for the existence and uniqueness of a nonnegative solution of the problem $$ u^{\prime}(t)=\ell(u)(t)+q(t), \ \ \ \ u(a)=h(u)+c, $$ where $\ell:C([a,b];\mathbb{R})\rightarrow L([a,b];\mathbb{R})$ is a linear bounded operator, $h:C([a,b];\mathbb{R})\...

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Bibliographic Details
Main Authors: A. Lomtatidze, Zdenek Oplustil
Format: Article
Language:English
Published: University of Szeged 2004-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=198