Improved oscillation criteria for second order quasilinear dynamic equations of noncanonical type

被引：2

作者：

Grace, Said R. ^{[1
,2
]}

Chhatria, G. N. ^{[2
]}

机构：

[1] Cairo Univ, Dept Engn Math, Fac Engn, Giza 12221, Egypt

[2] Sambalpur Univ, Dept Math, Sambalpur 768019, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 01期

关键词：

Dynamic equations; Time scales; Oscillation; Non-oscillation; Noncanonical form; 34C10; 34K11; 34N05; 39A10; DIFFERENTIAL-EQUATIONS; THEOREMS;

D O I：

10.1007/s12215-023-00905-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present discussion is to study the following second order nonlinear delay dynamic equation of the form: [r(theta)(W-Delta(theta))alpha](Delta)+P(theta)W-beta(eta(theta))=0, theta is an element of T0=[theta 0,infinity)T under the assumption integral(theta)(0 theta)r-1/alpha(s)Delta s<infinity. We divide the research into two halves, alpha>beta and alpha<beta, and look for some lim sup type conditions that cause all solutions to oscillate. In addition, we extend the Philos-type oscillation criteria. To illustrate the analytical findings, two examples are provided.

引用

页码：127 / 140

页数：14

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