Positivity of solutions to boundary value problems for infinite functional differential systems
In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + infinity) -> (-infinity, + infinity). Efficient tests of the solvability and the positivity are obtained. (c) 2006 Elsevier Ltd. All rights reserved.
positivity functional equations infinite systems cauchy and periodic problems spectral radius