| 一类退化核的积分方程有解的充要条件 |
| |
| 引用本文： | 关文吉,田亚丽.一类退化核的积分方程有解的充要条件[J].渭南师范学院学报,2004,19(5):53-54. |
| |
| 作者姓名： | 关文吉 田亚丽 |
| |
| 作者单位： | 1. 渭南师范学院,数学系,陕西,渭南,714000
2. 渭南市高新中学,陕西,渭南,714000 |
| |
| 摘 要： | 给出了一类退化核的齐次积分方程有非平凡解的充分必要条件，在此基础上，进一步得出非齐次积分方程有解的充分必要条件．
|
| 关 键 词： | 积分方程 充分必要条件 非齐次 非平凡解 退化核 |
| 文章编号： | 1009-5128(2004)05-0053-02 |
Necessary and Sufficient Condition for a Degenerate Kernel's Equation Solution |
| |
| GUAN Wen-ji,TIAN Ya-li.Necessary and Sufficient Condition for a Degenerate Kernel''''s Equation Solution[J].Journal of Weinan Teachers College,2004,19(5):53-54. |
| |
| Authors: | GUAN Wen-ji TIAN Ya-li |
| |
| Institution: | GUAN Wen-ji~1,TIAN Ya-li~2 |
| |
| Abstract: | A necessary and sufficient condition for a degenerate Kernel's homogeneous integral equation having non-trivial solution is first provided in the paper. And on this basis, a sufficient condition for non-homogeneous is further obtained. |
| |
| Keywords: | degenerate Kernel integral equation eigenvalue of an integral equation eigenfunction |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
