Iterative oscillation tests for differential equations with several non-monotone arguments

Advances in Difference Equations

George E Chatzarakis¹  Elena Braverman²  Ioannis P Stavroulakis³ 

[1] Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Athens, Greece;Department of Mathematics and Statistics, University of Calgary, Calgary, Canada;Department of Mathematics, University of Ioannina, Ioannina, Greece

关键词: differential equations with deviating arguments;    non-monotone arguments;    delay equations;    advanced arguments;    oscillation;    Grönwall inequality;    34K11;    34K06;   

DOI  :  10.1186/s13662-016-0817-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Sufficient oscillation conditions involving lim sup and lim inf for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples illustrating the significance of the results are also given.

【 授权许可】

CC BY