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| 三阶非线性常微分方程正解的存在性 | |
| 引用本文： | 王素云. 三阶非线性常微分方程正解的存在性[J]. 甘肃科学学报, 2003, 15(3): 1-5 |
| 作者姓名： | 王素云 |
| 作者单位： | 兰州师范高等专科学校数学系,甘肃,兰州,730070 |
| 摘 要： | 讨论了三阶非线性常微分方程边值问题u'-α(t)f(u)=0,αu'(0)-βu'(0)=0,u(1)=0,u'(1)=0正确的存在性。利用锥上的不动点定理证明了,当f(u)在u=0及u=∞超线性或次线性增长时,该问题至少存在一个正解。 |
| 关 键 词： | 三阶常微分方程 边值问题 正解的存在性 |
| 文章编号： | 1004-0366(2003)03-0001-05 |
| 修稿时间： | 2002-12-23 |
EXISTENCE OF A POSITIVE SOLUTION OF THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS |
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| WANG Su-yun. EXISTENCE OF A POSITIVE SOLUTION OF THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J]. Journal of Gansu Sciences, 2003, 15(3): 1-5 | |
| Authors: | WANG Su-yun |
| Abstract: | The existence of a positive solution of the third-order nonlinear differential equation um-a(t)f(u) = 0, is studied with au' (0) -u"(0) = 0,u(1) = 0,u' (1) = 0. At least one positive solution exists if f is either superlinear or sublinear by using the Fixed Point Theorem in cones. |
| Keywords: | third-order nonlinear differential equation boundary value problem existence of a positive solution. |
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