| 含不连续项的常微分积分方程的解 |
| |
| 引用本文： | 孙经先,赵增勤.含不连续项的常微分积分方程的解[J].高校应用数学学报(A辑),1992,7(4):558-567. |
| |
| 作者姓名： | 孙经先 赵增勤 |
| |
| 作者单位： | 济南山东大学数学系，曲阜师范大学 邮码 250100 |
| |
| 摘 要： | 本文研究微分积分方程 u'=g(t,u)+integral from 0 to 1(k(t,s)f(s,u(s))ds),u(0)=x_0最小解、最大解的存在性.本文的特点是关于方程中函数g(t,x),f(t,x)没作任何连续性假定.
|
| 关 键 词： | 不连续性 积分微分方程 解 |
SOLUTIONS OF INTEGRO-DIFFERENTIAL EQUTIONS WITH DISCONTINUOUS TERMS |
| |
| Sun Jingxian Zhao Zengqin.SOLUTIONS OF INTEGRO-DIFFERENTIAL EQUTIONS WITH DISCONTINUOUS TERMS[J].Applied Mathematics A Journal of Chinese Universities,1992,7(4):558-567. |
| |
| Authors: | Sun Jingxian Zhao Zengqin |
| |
| Institution: | Sun Jingxian Zhao Zengqin (Shandong University) (Qufu Normal University) |
| |
| Abstract: | In this paper we study the existence of minimal and maximal solutions of integro-differential equationThe main characteristic of this paper is that we do not assume any continuity on functions g(t,x), f(t,x) in the equation. |
| |
| Keywords: | Upper-lower Solutions Method Cone Discontinuity Ordinary Differential Equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
