Oscillatory results for second-order noncanonical delay differential equations

Opuscula Mathematica

article

Jozef Džurina¹  Irena Jadlovská¹  Ioannis P. Stavroulakis² 

[1] Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Mathematics and Theoretical Informatics;Al-Farabi Kazakh National University, Faculty of Mathematics and Mechanics

关键词: linear differential equation;    delay;    second-order;    noncanonical;    oscillation.;   

DOI  :  10.7494/OpMath.2019.39.4.483

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation \[\left(r(t)\left(y'(t)\right)^\gamma\right)'+q(t)y^\gamma(\tau(t))= 0, \quad t\geq t_0,\] under the condition \[\int_{t_0}^{\infty}\frac{\text{d} t}{r^{1/\gamma}(t)} \lt \infty.\] Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.

【 授权许可】

CC BY-NC