Yan's oscillation theorem revisited

被引:5
作者
Rogovchenko, Yuri V. [1 ]
Tuncay, Fatos [2 ]
机构
[1] Univ Kalmar, Sch Pure & Appl Nat Sci, SE-39182 Kalmar, Sweden
[2] Eastern Mediterranean Univ, Dept Math, TRNC, Mersin 10, Turkey
关键词
Linear differential equations; Damping; Oscillatory solutions; Yan's oscillation theorem; Integral averaging technique; NONLINEAR DIFFERENTIAL-EQUATIONS; INTERVAL OSCILLATION; CRITERIA;
D O I
10.1016/j.aml.2009.06.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Yan's contribution [J. Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986) 276-282] was an important breakthrough in the development of the Theory of Oscillation. This frequently cited paper has stimulated extensive investigations in the field. During the last decade, an integral oscillation technique has been developed to such an extent as to allow us to revisit Yan's fundamental oscillation theorem and remove one of the conditions, leaving the other assumptions and the conclusion intact, thus enhancing this keystone result. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1740 / 1744
页数:5
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