| 一类n阶非线性Robin边值问题的奇异摄动 |
| |
| 引用本文： | 史玉明,刘光旭.一类n阶非线性Robin边值问题的奇异摄动[J].曲阜师范大学学报,1995,21(4):23-27. |
| |
| 作者姓名： | 史玉明 刘光旭 |
| |
| 作者单位： | [1]曲阜师范大学数学系，山东省曲阜市273165 [2]南开大学数学系，天津市300071 |
| |
| 摘 要： | 在退化解为稳定的假定之下，研究一类n阶线性微分方程的Robin边值问题摄动解的存在性及渐近性，并给出了摄动解与退化解之差的精确估计式。
|
| 关 键 词： | n阶非线性Robin边值问题 奇异摄动 Nagumo条件 Iq－稳定 非线性微分方程 摄动解 |
SINGULAR PERTURBATIONS FOR A CLASS OF nTH-ORDER NONLINEAR MIXED BOUNDARY VALUE PROBLEM |
| |
| Abstract: | Assuming that the reduced solution is stable, the existence and asymptotic behavior of perturbed solution for a class of n th order nonlinear mixed boundary value problem are investigated. The accurate estimations of the differences between the perturbed solutions and the reduced solutions are given out in this paper. |
| |
| Keywords: | n th order nonlinear mixed boundary value problem singular perturbation nagumo condition I q stable strongly (weakly) stable |
| 本文献已被 CNKI 维普 等数据库收录！ |
