Michael I. Gil'
We consider the equation
where , () are real bounded functions. Assuming that all the roots of the polynomial () are real, we derive positivity conditions for the Green function for the Cauchy problem. We also establish a lower estimate for the Green function and a comparison theorem for solutions.
Submitted May 8, 2008. Published July 25, 2008.
Math Subject Classifications: 34C10, 34A40.
Key Words: Linear ODE; Green function; fundamental solution; positivity; comparison of solutions.
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|Michael I. Gil' |
Department of Mathematics
Ben Gurion University of the Negev
P.0. Box 653, Beer-Sheva 84105, Israel
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