| 34 | 0 | 91 |
| 下载次数 | 被引频次 | 阅读次数 |
研究2种形式的一阶超线性时滞微分方程x′(t)+p(t)[x(θt)]~α=0和x′(t)+p(t)[x(t~θ)]~α=0的解的振动性和非振动性，其中0<θ<1,α>1,获得了保证其所有解振动的“almost sharp”准则.
Abstract：This study investigated the oscillation and non-oscillation of the solutions of two types of first-order superlinear delay differential equations x'(t)+p(t)[x(θt)]~α=0 and x'(t)+p(t)[x(t~θ)]~α=0,0<0<1,α>1.The "almost sharp" criterion that guaranteed all solution oscillation was obtained.
[1] 李文娟，李书海，汤获.二阶拟线性中立型时滞微分方程的振动性[J].工程数学学报，2020,37(4):469-477.
[2] LADDE G S,LAKSHMIKANTHAM V,ZHANG B G.Oscillation theory of differential equation with deviating aruments[M].New York:Dekker,1987.
[3] GYÖRI I,LADAS G.Oscillation theory of delay differential equations with applications[M].Oxford:Charendon Press,1991.
[4] BINGTUAN L.Oscillation of first order delay differential equations[J].Proceedings of the American Mathematical Society,1996,124(12):3729-3737.
[5] 唐先华，庾建设，王志成.临界状态一阶时滞微分方程振动性的比较定理[J].科学通报，1999,44(1):26-31.
[6] 张锋，钱彦云.一类高阶拟线性中立型时滞微分方程解的振动性准则[J].曲阜师范大学学报(自然科学版),2019,45(1):51-57.
[7] ERBE L H,KONG QINGKAI,ZHANG B G.Oscillation theory for functional differential equations[M].New York:Dekker,1995.
[8] 唐先华，庾建设.超线性时滞微分方程解的振动性[J].应用数学学报，2003,26(2):328-336.
基本信息:
DOI：10.19926/j.cnki.issn.1674-232X.2023.06.201
中图分类号:O175
引用信息:
[1]田欣鑫,申建华.两类超线性时滞微分方程解的振动性[J].杭州师范大学学报(自然科学版),2026,25(02):193-199.DOI:10.19926/j.cnki.issn.1674-232X.2023.06.201.
基金信息:
国家自然科学基金项目(12071105,11971143)
2023-06-20
2023
2026-03-10
2026
4
2026-03-30
2026-03-30