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全连续弱内向映象的不动点指数及多重不动点定理 被引量:2
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作者 韩志清 《系统科学与数学》 CSCD 北大核心 1998年第2期230-233,共4页
本文通过研究与全连续弱内向映象相应的Banach空间中凸闭集上常微分方程解的性质,定义了有界凸闭集上局部Lip.全连续弱内向映象的不动点指数并利用它给出了一个弱内向映象的三解定理.
关键词 弱内向映象 多重不动点定理 巴拿赫空间 不动点
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时滞差分方程多重正周期解的存在性 被引量:1
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作者 时宝 康淑瑰 《山西大同大学学报(自然科学版)》 2009年第1期1-2,共2页
本文利用α凹算子与β凸算子之和的多重不动点定理给出一阶时滞差分方程多重周期解存在性的充分条件.
关键词 时滞 差分方程 多重周期解 α凹算子与β凸算子之和的多重不动点定理
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Existence of Multiple Positive Solutions for Higher-Order p-Laplacian Boundary Value Problems
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作者 贺小明 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期212-216,共5页
The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which e... The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which ensure the existence of at least three positive solutions of the boundary value problem are established. 展开更多
关键词 positive solutions cone Leggett Williams fixed point theorem p Laplacian boundary value problems
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Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator
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作者 陈永鹏 戚仕硕 《Journal of Mathematical Research and Exposition》 CSCD 2009年第4期671-681,共11页
In this paper,we consider the existence of positive solutions for the singular fourth-order four point boundary value problem with p-Laplacian operator.By using the fixed point theorem of cone expansion and compressio... In this paper,we consider the existence of positive solutions for the singular fourth-order four point boundary value problem with p-Laplacian operator.By using the fixed point theorem of cone expansion and compression,the existence of multiple positive solutions is ob-tained. 展开更多
关键词 P-LAPLACIAN singular boundary value problem positive solution cone
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