A nonoscillation theorem for Emden-Fowler equations

被引：11
|
作者：
Wong, JSW [1 ]
机构：
[1] City Univ Hong Kong, Kowloon Tong, Hong Kong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 274卷 / 02期
关键词：
ordinary differential equation; nonlinear; second order; oscillation; asymptotic behavior;
D O I：
10.1016/S0022-247X(02)00357-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the second order Emden-Fowler equation (E) y"+a(x)\y\(gamma-1) y=0, gamma > 0 where a(x) is positive and absolutely continuous on (0, infinity). Let psi(x) = x((gamma+3)/2+delta) where 3 is any positive number. Theorem. Let gamma not equal 1. If psi(x) satisfies. (a) lim(x-->infinity)psi(x) k > 0 and (b) f(infinity) \ psi'(x) \ dx <infinity, then Eq. (E) is nonoscillatory. (C) 2002 Elsevier Science (USA). All rights reserved.
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页码：746 / 754
页数：9
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