SECOND-ORDER DIFFERENTIAL EQUATIONS: ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS

被引：4

作者：

Bazighifan, Omar ^{[1
]}

Santra, Shyam Sundar ^{[2
]}

机构：

[1] Hadhramout Univ, Dept Math, Fac Sci, Hadhramout 50512, Yemen

[2] JIS Coll Engn, Dept Math, Kalyani 741235, W Bengal, India

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 01期

关键词：

Oscillation criteria; non-oscillation; delay; second-order equations; Lebesgue's dominated convergence theorem; OSCILLATION THEOREMS;

D O I：

10.18514/MMN.2022.3369

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we obtain necessary and sufficient conditions for the oscillation of all solutions of the second-order delay differential equation (pi(y ')(gamma) )' (t)+ p(t) f y(tau(t))) = 0, under the assumption integral(infinity)(pi(eta))(-1/gamma) d eta = infinity, we consider two cases: when f (v)/v(beta) is non-increasing, and non-decreasing. In the final section, we provide examples illustrating the results and state an open problem.

引用

页码：105 / 115

页数：11

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