Oscillations of differential equations generated by several deviating arguments

Advances in Difference Equations

George E Chatzarakis¹  Tongxing Li² 

[1] Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Athens, Greece;School of Information Science and Engineering, Linyi University, Linyi, P.R. China

关键词: differential equation;    non-monotone argument;    oscillatory solution;    nonoscillatory solution;    34K06;    34K11;   

DOI  :  10.1186/s13662-017-1353-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established. Corresponding differential equations of both delayed and advanced type are studied. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in MATLAB.

【 授权许可】

CC BY