关于几次延迟的中性微分方程的振荡标准
Manal Alqhtani1, Fahd Masood2,3, Khaled M Saad1
1Department of Mathematics, College of Sciences and Arts, Najran University, Najran, Kingdom of Saudi Arabia.
Scientific reports
|September 30, 2025
概括
本研究分析了二次中性延迟微分方程,重点关注它们的振荡行为. 建立了新的标准,以保证复杂的非线性系统中的溶液振荡.
科学领域:
- 数学 数学 是一个数学.
- 动态系统 动态系统
- 微分方程 微分方程 微分方程
背景情况:
- 有延迟的中性微分方程对于建模复杂系统至关重要.
- 了解这些方程的振荡和异常行为对于分析系统稳定性和可预测性至关重要.
- 现有的研究往往侧重于正典形式,使非正典形式的探索较少.
研究的目的:
- 调查具有多个延迟的二次中性微分方程的振荡特征和非对称行为.
- 专门分析非正规形式的方程,包括超线性和亚线性术语.
- 开发新的标准,以确保在这些复杂的非线性系统中解决方案的振荡.
主要方法:
- 使用经典的里卡蒂方法与多个替代.
- 简化和分析二次中性延迟微分方程.
- 推导出溶液振荡的特定条件.
主要成果:
- 确定了各种延迟的非线性中性微分方程中解决方案振荡的新标准.
- 成功地应用了里卡蒂方法来分析这些方程的非正规形式.
- 通过说明性例子证明了研究结果的实际适用性.
结论:
- 这项研究为具有时间延迟的复杂动态系统的振荡性提供了新的见解.
- 开发的标准为分析这些系统的稳定性和行为提供了有价值的工具.
- 这项研究有助于推进有延迟的微分方程理论.
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