Oscillation of fourth-order strongly noncanonical differential equations with delay argument

Advances in Difference Equations

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