[1]李凤艳,石金传.一类非线性项含有导数的3阶边值问题的正解[J].江西师范大学学报(自然科学版),2016,40(04):349-353.
　LI Fengyan,SHI Jinchuan.The Positive Solutions of a Class of Third-Order Boundary-Value Problems with Derivative Dependence[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(04):349-353.
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一类非线性项含有导数的3阶边值问题的正解()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年04期
页码:
349-353
栏目:
出版日期:
2016-09-01

文章信息/Info

Title:
The Positive Solutions of a Class of Third-Order Boundary-Value Problems with Derivative Dependence
作者:
李凤艳; 石金传
1.辽宁行政学院商务贸易系,辽宁 沈阳 110161; 2.沈阳化工大学科亚学院,辽宁 沈阳 110167
Author(s):
LI Fengyan; SHI Jinchuan
1.Department of Business and Trade,College of Liaoning Administration,Shenyang Liaoning 110161,China; 2.Keya College,Shenyang University of Chemical Technology,Shenyang Liaoning 110167,China
关键词:
非线性项含有导数;  3阶边值;  正解
Keywords:
derivative dependence;  third-order boundary-value;  positive solution
分类号:
O 177.91
文献标志码:
A
摘要:
应用不动点指数的计算结果,证明了一类非线性项依赖于未知函数导数的3阶边值问题正解的存在性.这类边值问题具有与已有文献中所讨论问题不同的阶数、边值条件和奇异性,最后给出1个例子作为对所获得结果的应用.
Abstract:
By means of the methods of fixed point index computation,the existence of positive solutions of a class of third-order boundary-value problems with derivative dependence is proved.The boundary-value problems considered possess different order,boundary conditions and singularity from those in previous works.An example is given to apply the results obtained.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-01-15基金项目:国家自然科学基金(61473065)资助项目.作者简介:李凤艳(1964-),女,辽宁沈阳人,副教授,主要从事非线性泛函分析及管理数学教学研究.
更新日期/Last Update: 1900-01-01