[1]俞亚娟.Banach 空间中一阶非线性积分一 微分包含边值问题的正解[J].常州大学学报(自然科学版),2006,(01):58-61.
　YU Ya-juan.Multiple Positive Solutions for First Order Nonlinear lntegro? Differential Inclusions in Banach Spaces[J].Journal of Changzhou University(Natural Science Edition),2006,(01):58-61.
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Banach 空间中一阶非线性积分一 微分包含边值问题的正解()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2006年01期
页码:
58-61
栏目:
出版日期:
2006-02-25

文章信息/Info

Title:
Multiple Positive Solutions for First Order Nonlinear lntegro? Differential Inclusions in Banach Spaces
作者:
俞亚娟
江苏工业学院信息科学系, 江苏 常州 2 1 3 1 6 4)
Author(s):
YU Ya-juan
Department of Information Science, Jiangsu Polytechnic University, Changzhou 213164, China
关键词:
集值映射;  上半连续;  半序Ba na ch 空间;  正解
Keywords:
set-valued map;  u.s. c;  ordered Banach space;  positive solution
分类号:
O 1 75.8
文献标志码:
A
摘要:
在半序Ba na ch 空间中, 利用集值映射得不动点定理, 讨论一阶非线性积分一微分包含边值问题多个正解的存在性, 并 把所的结果应用到单值映射, 所得结果减弱了对函数f 的限制。
Abstract:
By using the fixed point theorem for the set-valued maps, this paper discusses the existence of multi-positive solutions of the boundary value problems for the first order nonlinear integra-differential inclusions in Banach spaces. When the conclusions are applied to the single value maps, they weaken the restricted conditions on the function f.

参考文献/References:

[1]郭大均. 非线性分析中的半序方法〔M〕济南: 山东科学技 术出版社, 20 0 3
[2] Heinz H P. On the Behavioo·rf Measure of Noncompactness with Respect to Differentiation and Integration of Vector-Val? ued Functions [J]. Nonlinear Anal, TMA, 1983, 7: 1 351 -1 371.
[3] Klaus Deimiling. Multivalued Differential Equation [M]. New York: Walter de Gruyter Berlin, 1992.
[4] Mikhail Kamenskii, Valeri Obukhovskii Pietro Zecca. Conden? sing Multivalued Maps and Semilinear Differential Inclusions in Banach Space [M]. New York , Walter de Gruyter Berlin, 2001.
[5] Ravi P. Agarwal and Donal O'Regan, A Note on the Existence of Multiple Fixed Points for Multivalued Maps with Applica? tions [J]. Journal of Differential Equations, 2000, 160: 389 -403.
[6] Dajun Guo. Multiple Positive Solutions for First Order Nonlin? ear Integra - Differential Equations in Banach Spaces [J]. Nonlinear Analysis, 2003, 53: 183-195.

备注/Memo

备注/Memo:
作者简介: 俞亚娟(1 9 7 8 一) , 女, 江苏 常州 人, 硕士, 研究方向: 非线性分析及其应用。
更新日期/Last Update: 2006-01-25