Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales

被引：9

作者：

Graef, John R. ^{[1
]}

Hill, Mary ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Georgia Coll & State Univ, Dept Math, Milledgeville, GA 31061 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 02期

基金：

美国国家科学基金会;

关键词：

Nonoscillation; Differential equations; Dynamic equations; Higher order; Time scales; Bihari inequality; FUNCTIONAL-DIFFERENTIAL EQUATIONS; OSCILLATION; INEQUALITIES;

D O I：

10.1016/j.jmaa.2014.10.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors give sufficient conditions for all solutions of a higher order nonlinear delay dynamic equation on time scales to be nonoscillatory. The results cover both the superlinear and sublinear cases and, in the differential equations case, resolve a question that has been open for 30 years. In order to prove their results, the authors first prove a new Bihari type inequality for functions on time scales. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1693 / 1703

页数：11

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