Michael I. Gil'
Abstract:
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 Email: gilmi@cs.bgu.ac.il |
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