EXISTENCE OF POSITIVE SOLUTION AND NEW OSCILLATION CRITERIA FOR NONLINEAR FIRST-ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS

被引：18
|
作者：
Santra, Shyam Sundar [1 ]
机构：
[1] Sambalpur Univ, Dept Math, Sambalpur 768019, India
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2016年 / 8卷 / 01期
关键词：
oscillation; nonoscillation; non-linear; delay; neutral differential equations; asymptotic behaviour; existence of positive solution; Knaster-Tarski fixed point theorem; Banach fixed point theorem;
D O I：
10.7153/dea-08-03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, oscillatory behaviour of the solutions of a class of nonlinear first-order neutral delay differential equations of the form (E-1) (x(t)+ p(t) x(t - tau))' + q(t) H(x(t - sigma)) = f (t) and (E-2) x(t)+ p(t)x(t - tau))' + q(t) H(x(t - sigma)) = 0 are studied under various ranges of p(t). Sufficient conditions are obtained for existence of bounded positive solutions of (E-1).
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页码：33 / 51
页数：19
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