| 一类无穷区间上的三阶两点边值问题解的存在性 |
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| 引用本文： | 杨赞,裴明鹤.一类无穷区间上的三阶两点边值问题解的存在性[J].北华大学学报(自然科学版),2017,18(6). |
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| 作者姓名： | 杨赞 裴明鹤 |
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| 作者单位： | 同济大学浙江学院,浙江嘉兴,314051;北华大学数学与统计学院,吉林吉林,132013 |
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| 基金项目： | 吉林省教育厅科学技术研究项目 |
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| 摘 要： | 研究一类无穷区间上的三阶两点边值问题:{x(′″)(t)+a(t)f(t,x(t),x′(t),x″(t))=0,t∈(0,+∞),x(0)=0,x′(0)-bx″(0)=0,x″(+∞)=c,其中a∈C(0,+∞),(0,+∞)),f∈C(0,+∞)×R 3,R),b≥0,c∈R.综合运用上下解方法和Schauder不动点定理,得到了上述三阶无穷边值问题解的存在性.
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| 关 键 词： | 三阶无穷边值问题 上下解方法 Schauder不动点定理 存在性 |
Existence of Solutions for a Third-Order Two-Point Boundary Value Problem on Infinite Intervals |
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| Yang Zan,Pei Minghe.Existence of Solutions for a Third-Order Two-Point Boundary Value Problem on Infinite Intervals[J].Journal of Beihua University(Natural Science),2017,18(6). |
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| Authors: | Yang Zan Pei Minghe |
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| Abstract: | We concerned with a third-order two-point boundary value problem on infinite intervals of the form {x(′″)(t)+a(t)f(t,x(t),x′(t),x″(t))=0,t∈(0,+∞),x(0)=0,x′(0)-bx″(0)=0,x″(+∞)=c, where a ∈C(0,+∞),(0,+∞)),f∈C(0,+∞)×R 3 ,R ),b≥0,c∈R . The existence of solution is obtained by using the upper and lower solution method together with Schauder fixed point theorem for the above third-order infinite boundary value problem. |
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| Keywords: | third-order infinite boundary value problem upper and lower solution method Schauder fixed theorem existence |
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