Oscillations of nonlinear differential equations with several deviating arguments

Electronic Journal of Qualitative Theory of Differential Equations

George Chatzarakis¹  Julio Dix² 

[1] Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Athens, Greece;Texas State University, San Marcos, Texas, USA;

关键词: differential equation;    non-monotone argument;    oscillatory solution;    nonoscillatory solution;    grönwall inequality;   

DOI  :  10.14232/ejqtde.2018.1.39

来源: DOAJ

【 摘 要 】

This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative coefficients. We study both delayed and advanced equations, and obtain sufficient conditions that guarantee the oscillation of all solutions. Our assumptions let us transform differential equalities into inequalities for which we use known techniques, and improve results in the literature. We also provide an example that illustrates our results.

【 授权许可】

Unknown