Property (A) of third-order advanced differential equations

被引：6

作者：

Dzurina, J. ^{[1
]}

Baculikova, B. ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Kosice 04200, Slovakia

来源：

MATHEMATICA SLOVACA | 2014年 / 64卷 / 02期

关键词：

third-order functional differential equations; comparison theorem; oscillation; nonoscillation; COMPARISON-THEOREMS; OSCILLATION; ARGUMENTS;

D O I：

10.2478/s12175-014-0208-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we offer criteria for property (A) of the third-order nonlinear functional differential equation with advanced argument (a(t)(x'(t))(gamma))'' + p(t)f(x(sigma(t))) = 0, , where . We establish new comparison theorems for deducing property (A) of advanced differential equations from that of ordinary differential equations without deviating argument. The presented comparison principle fill the gap in the oscillation theory.

引用

页码：339 / 346

页数：8

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