Electron. J. Differential Equations, Vol. 2017 (2017), No. 126, pp. 1-9.

Oscillation criterion for first-order delay differential equations with sign-changing coefficients

Hongwu Wu, Churong Chen, Rongkun Zhuang

Abstract:
We establish conditions so that all solutions to a first-order linear delay differential equation become oscillatory. The coefficients of this equation are allowed to have negative and positive values, which is an expansion of the results in the references. To illustrate our results we present two examples.

Submitted March 8, 2017. Published May 10, 2017.
Math Subject Classifications: 34K11, 34C10.
Key Words: Oscillatory solution; delay differential equation; variable delay

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Hongwu Wu
School of Mathematics
South China University of Technology
Guangzhou 510640, China
email: hwwu@scut.edu.cn
Churong Chen
School of Mathematics
South China University of Technology
Guangzhou 510640, China
email: churchen@foxmail.com
Rongkun Zhuang
Department of Mathematics
Huizhou University
Huizhou 516007, China
email: zhuangrk@hzu.edu.cn

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