| 非线性弱耦合方程组广义解的单调迭代法 |
| |
| 引用本文： | 缪淑贤,刘大任. 非线性弱耦合方程组广义解的单调迭代法[J]. 沈阳建筑工程学院学报(自然科学版), 2004, 20(2): 161-164 |
| |
| 作者姓名： | 缪淑贤 刘大任 |
| |
| 作者单位： | 沈阳建筑工程学院基础部，沈阳建筑工程学院基础部 辽宁沈阳110168，辽宁沈阳110168 |
| |
| 摘 要： | 通过Galerkin方法、勒贝格控制收敛定理、Gronwall不等式及广义上下解方法给出一类非线性抛物—常微弱耦合方程组混合问题广义解的单调迭代法;对所得理论作了推广;并利用该理论分析了大熊猫—竹子种群的相互依存关系.
|
| 关 键 词： | 广义解 单调迭代法 Galerkin方法 广义上下解 Lebesque控制收敛定理 |
| 文章编号： | 1671-2021(2004)02-0161-04 |
| 修稿时间： | 2003-10-21 |
Monotone iteration method generalized solution of nonlinear weakly coupled equations |
| |
| MIAO Shu-xian,LIU Da-ren. Monotone iteration method generalized solution of nonlinear weakly coupled equations[J]. Journal of Shenyang Archit Civil Eng Univ: Nat Sci, 2004, 20(2): 161-164 |
| |
| Authors: | MIAO Shu-xian LIU Da-ren |
| |
| Abstract: | Galerkin method,Lebesque control-convergent theorem,Gronwall inequality and the method of generalized upper and lower solution were employed to demonstrate the monotone iteration method generalized solution for the mixed boundary value problem of the weakly coupled parabolic and ordinary system.And its theory has been popularized and the interdependent relation of panda-bamboo species has been analyzed with the theory. |
| |
| Keywords: | generalized solution monotone iteration method Galerkin method generalized upper and lower solution Lebesque control-convergent theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
