期刊论文详细信息
Advances in Difference Equations | |
Oscillation of fourth-order strongly noncanonical differential equations with delay argument | |
J. Dzurina1  B. Baculikova1  | |
[1] Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice; | |
关键词: Noncanonical operator; Fourth order differential equations; Oscillation; | |
DOI : 10.1186/s13662-019-2322-y | |
来源: DOAJ |
【 摘 要 】
Abstract The aim of this paper is to study oscillatory properties of the fourth-order strongly noncanonical equation of the form (r3(t)(r2(t)(r1(t)y′(t))′)′)′+p(t)y(τ(t))=0, $$ \bigl(r_{3}(t) \bigl(r_{2}(t) \bigl(r_{1}(t)y'(t) \bigr)' \bigr)' \bigr)'+p(t)y \bigl( \tau (t) \bigr)=0, $$ where ∫∞1ri(s)ds<∞ $\int ^{\infty }\frac{1}{r_{i}(s)}\,\mathrm {d}{s}<\infty $, i=1,2,3 $i=1,2,3$. Reducing possible classes of the nonoscillatory solutions, new oscillatory criteria are established.
【 授权许可】
Unknown