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| 某些二阶系统正解的存在性 | |
| 引用本文： | 白占兵. 某些二阶系统正解的存在性[J]. 应用泛函分析学报, 2000, 2(3): 193-197 |
| 作者姓名： | 白占兵 |
| 作者单位： | 华东石油大学应用数学系,山东,东营,257062 |
| 摘 要： | 考察如下边值问题正解的存在性x″(t) λa(t) f (x(t) ,y(t) ) =0y″(t) λb(t) g(x(t) ,y(t) ) =0x(0 ) =x(1 ) =y(0 ) =y(1 ) =0其中 f ,g:R × R R ;a,b:[0 ,1 ] R .所有的函数都被假定是连续的 ,此外 f ,g满足某些增长性条件 .本文得到了一些正解的存在性结果 . |
| 关 键 词： | 正解 边值问题 不动点 存在性 二阶系统 |
Existence of Positive Solutions of some Second Order Systems |
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| BAI Zhan-bing. Existence of Positive Solutions of some Second Order Systems[J]. Acta Analysis Functionalis Applicata, 2000, 2(3): 193-197 | |
| Authors: | BAI Zhan-bing |
| Affiliation: | East of China |
| Abstract: | The existence of positive solutions of boundary value problemx″(t)+λa(t)f(x(t),y(t))=0y″(t)+λb(t)g(x(t),y(t))=0x(0)=x(1)=y(0)=y(1)=0is investigated where f and g are functions from R+×R+ into R+; and a,b are functions from [0,1] into R+. All functions are assumed to be continuous, and some growth conditions are imposed on f and g. We get some results about the existence of positive solution. |
| Keywords: | positive solution boundary value problem fixed|point |
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