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多时滞二阶非线性微分方程的渐近性

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研究了一类具有多时滞的二阶非线性中立型微分方程的渐近性和振动性.利用Riccati变换,积分平均技巧和分析性质获得了该类方程解振动或收敛于零的充分条件.
Asymptotic Behavior for Second Order Nonlinear Differential Equations with Multiple Delays
The asymptotic behavior and oscillation criteria of a family of second order nonlinear neutral differential equations with multiple delays are studied.By use of the Riccati transformation,the integral averaging technique and analytical properties,the sufficient conditions for every solution which the e-quation is either oscillatory or converges to zero are established.

Riccati transformationOscillation criteriaAsymptotic behaviorMultiple delaysPositive solution

赵玉萍

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青海民族大学数学与统计学院,青海西宁 810007

Riccati变换 振动性 渐近性 多时滞 正解

国家自然科学基金青海省科技厅项目

121610712023-ZJ-949Q

2024

云南师范大学学报(自然科学版)
云南师范大学

云南师范大学学报(自然科学版)

CSTPCD
影响因子:0.54
ISSN:1007-9793
年,卷(期):2024.44(2)
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