On the existence of positive solutions for systems of differential equations with a distributed delay

Authors:
Leonid Berezansky;Elena Braverman
Affiliations:
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel;Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N. W., Calgary, AB T2N 1N4, Canada
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

For the system with a distributed delay X@?(t)+@?k=1m@!"h"""k"("t")^t[d"sR"k(t,s)]X(s)=0 sufficient conditions for positivity of the fundamental matrix are obtained. In the case when the fundamental matrix is positive, comparison results and sufficient positivity conditions for solutions are established.