ESTIMATES FOR THE GREEN FUNCTIONS OF NONAUTONOMOUS HIGHER ORDER DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Gil, Michael [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 09期
关键词：
Ordinary differential equations; linear nonautonomous equations; estimates for Green functions;
D O I：
10.1090/S0002-9939-09-09829-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the equation Sigma(n)(k=0) a(k)(t)x((n-k))(t) = 0 (t > 0), where a(0)(t) 1; a(k)(t) (k = 1,...,n) are bounded continuous functions. It is assumed that all the roots r(k)(t) (k = 1,...,n) of the polynomial z(n) + a(1)(t)z(n-1) +...+ a(n)(t) are real for all t >= 0. Sharp estimates for the Green function to the Cauchy problem and their derivatives are derived.
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页码：3045 / 3055
页数：11
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