| 四阶微分方程非线性两点边值问题解的存在唯一性(英文) |
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| 引用本文： | 高永馨,谢燕华. 四阶微分方程非线性两点边值问题解的存在唯一性(英文)[J]. 黑龙江大学自然科学学报, 2012, 29(1): 7-13,19 |
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| 作者姓名： | 高永馨 谢燕华 |
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| 作者单位： | 中国民航大学理学院,天津,300300 |
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| 基金项目： | Supported by the Research Foundation of Civil Aviation University of China |
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| 摘 要： | 利用上下解方法,讨论了四阶微分方程非线性两点边值问题y(4)=f(x,y,y’,y″,y′′′),y(b)=b0,y’(b)=b1,y″(b)=h(y″(a)),g(y(a),y(b),y’(a),y’(b),y″(a),y″(b),y′′′(a),y′′′(b))=0(*)解的存在唯一性。
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| 关 键 词： | 上下解方法 四阶微分方程 非线性两点边值问题 Nagumo条件 解的存在唯一性 |
Existence and uniqueness of solutions of nonlinear two-point boundary value problems for fourth order differential equations |
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| GAO Yong-xin , XIE Yan-hua. Existence and uniqueness of solutions of nonlinear two-point boundary value problems for fourth order differential equations[J]. Journal of Natural Science of Heilongjiang University, 2012, 29(1): 7-13,19 |
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| Authors: | GAO Yong-xin XIE Yan-hua |
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| Affiliation: | (College of Science,Civil Aviation University of China,Tianjin 300300,China) |
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| Abstract: | By using the method of upper-lower solution,the existence and uniquenss of solutions of nonlinear two-point boundary value problems for fourth order differential equationy(4)=f(x,y,y′,y″,y′′′),y(b)=b0,y′(b)=b1,y″(b)=h(y″(a)),g(y(a),y(b),y′(a),y′(b),y″(a),y″(b),y′′′(a),y′′′(b))=0(*)are investigated. |
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| Keywords: | upper-lower solution fourth order differential equation nonlinear two-point boundary value problems Nagumo' s condition existence and uniqueness of solutions |
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