ON ASYMPTOTIC BEHAVIOR OFSOLUTIONS OF n-TH ORDER EMDEN-FOWLER DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENT

被引：3

作者：

Koplatadze, R. ^{[1
]}

机构：

[1] Tbilisi State Univ, Dept Math, GE-0186 Tbilisi, Georgia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2010年 / 60卷 / 03期

关键词：

proper solution; property A; property B;

D O I：

10.1007/s10587-010-0051-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study oscillatory properties of solutions of the Emden-Fowler type differential equation u((n))(t)+p(t)|u(sigma(t))|(lambda) sign u(sigma(t))=0, where 0 < lambda < 1, p is an element of L-loc (R+;R), sigma is an element of C(R+;R+) and sigma(t)>= t for t is an element of R+. Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established. Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).

引用

页码：817 / 833

页数：17