Interval oscillation of second-order functional differential equations with oscillatory potentials

被引：7
|
作者：
Guvenilir, A. Feza [1 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Interval oscillation; Second-order; Nonlinear differential equation; Delay argument; Advanced argument; Oscillatory potentials; CRITERIA;
D O I：
10.1016/j.na.2009.06.095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Interval oscillation criteria are established for second-order differential equations of the form (k(t)x' (t))' + p(t)x(g(t)) + q (t) vertical bar x(g(t))vertical bar gamma-1x(g(t)) = e(t), t >= 0 (E gamma) where gamma > 1; k,p,q,e and g are continuous real-valued functions; k(t) > 0 is nondecreasing; g(t) is nondecreasing, lim(t ->infinity) g(t) infinity. We consider g(t) <= t and g(t) >= t, separately. Illustrative examples are included. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：E2849 / E2854
页数：6
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