Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients

Advances in Difference Equations

Petr Hasil¹  Michal Vesel¹ 

[1] Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

关键词: half-linear equations;    oscillation theory;    conditional oscillation;    Prüfer angle;    Riccati equation;    34C10;    34C15;   

DOI  :  10.1186/s13662-015-0533-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period. Our main interest is to study the oscillatory properties of the equations in the case when the coefficients give exactly the critical oscillation constant. We prove that any of the considered equations is non-oscillatory in this case.

【 授权许可】

CC BY