Positivity of solutions to boundary value problems for infinite functional differential systems

Authors:
Alexander Domoshnitsky;Yakov Goltser
Affiliations:
Department of Mathematics and Computer Science, The College of Judea and Samaria, Ariel 44837, Israel;Department of Mathematics and Computer Science, The College of Judea and Samaria, Ariel 44837, Israel
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

Citing 3
Cited 0

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Mathematical and Computer Modelling: An International Journal

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Abstract

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,+~)-(-~,+~). Efficient tests of the solvability and the positivity are obtained.