| 一阶微分不等式理论在奇摄动初值问题中的应用 |
| |
| 引用本文： | 冯依虎,刘树德.一阶微分不等式理论在奇摄动初值问题中的应用[J].阜阳师范学院学报(自然科学版),2011,28(3):25-27. |
| |
| 作者姓名： | 冯依虎 刘树德 |
| |
| 作者单位： | 1. 安徽师范大学数学系,安徽芜湖241000／毫州师范高等专科学校理化系,安徽亳州236800
2. 安徽师范大学数学系,安徽芜湖,241000 |
| |
| 基金项目： | 安徽省高校自然科学基金，亳州师范高等专科学校课题 |
| |
| 摘 要： | 通过分析微分不等式与相应的微分方程的解之间的关系,建立了一阶微分不等式理论,并应用它研究一阶微分方程的奇摄动初值问题,证明了解的存在性,同时用适当的不等式的解来估计精确解,从而得到该问题解的存在性及其渐近性质的一般结果。
|
| 关 键 词： | 奇摄动 初值问题 微分不等式 解的存在性 解的估计 |
Application of theory of first order differential equalities with singularly perturbed initial value problems |
| |
| Abstract: | The theory of first order differential inequalities is established by analysing the relation of solutions between differential inequalities and differenlial equations.Some singularly perturbed initial value problems of first order differenlial equations are studied.The existence of solutions is proved using the theory of first order differential inequalities,and at the same time,the exact solution is estimated in terms of the solutions of appropriate inequalities,this leads to general results about existence of solutions and their asymptotic behavior for this problem. |
| |
| Keywords: | singular perturbation initial value problems differential inequalities existence of solutions estimate of solutions |
| 本文献已被 万方数据 等数据库收录！ |
|
