Existence of positive solutions for a class of discrete Dirichlet boundary value problems  


作者:Guang Zhang; Song Ge


Applied Mathematics Letters


卷:  48  

页:  1-7  

DOI:  10.1016/j.aml.2015.03.005  

出版年:  Oct. 2015  



摘要

Let x=f(x), where xisinR. Clearly, if there exists b>a>0 such that fisinC[a,b] and either f(a)lesa and f(b)gesb or f(a)gesa and f(b)lesb, then there is x*isin[a,b] such that x*=f(x*), that is, the function f(x) has a fixed point x*isin[a,b]. By using the above main idea and famous Guo-Krasnosel'skii fixed point theorem, existence of positive solutions for a nonlinear second order difference equation and a discrete second order system with the Dirichlet boundary conditions will be considered. The new existence results will be obtained. In particular, the main idea is also valid for the partial difference problems or the general nonlinear algebraic system. [All rights reserved Elsevier].


作者信息

作者地址: Guang Zhang; Sch. of Sci., Tianjin Univ. of Commerce, Tianjin, China.

Song Ge; Sch. of Econ., Tianjin Univ. of Commerce, Tianjin, China.


出版商

Elsevier B.V., Netherlands


类别 / 分类

研究方向:Mathematics; Business & Economics (由 Thomson Reuters 提供)

分类代码:A0260 Numerical approximation and analysis; A0210 Algebra, set theory, and graph theory; A0230 Function theory, analysis; B0220 Mathematical analysis; B0290K Nonlinear and functional equations (numerical analysis); B0210 Algebra; C1120 Mathematical analysis; C4150 Nonlinear and functional equations (numerical analysis); C4170 Differential equations (numerical analysis); C1110 Algebra; E0210C Mathematical analysis; E0210L Numerical analysis; E0210A Algebra

CODEN:AMLEEL

受控索引:algebra; boundary-value problems; difference equations; nonlinear equations

非受控索引:positive solutions; disrete Dirichlet boundary value problems; Guo-Krasnosel'skii fixed point theorem; nonlinear second order difference equation; discrete second order system; general nonlinear algebraic system


文献信息

文献类型:Journal Paper

语种:English

入藏号:INSPEC:15197008

ISSN:0893-9659

参考文献数:5



期刊信息


Impact Factor (影响因子):  Journal Citation Reports®


其他信息

处理类型:Theoretical or Mathematical

文献号:S0893-9659(15)00096-8



用WEB of science 查询

一：SCI收录号查询方法
SCI的“收录检索号”有些人填文献记录中的IDS Number，但每种期刊每一期上的文献IDSNumber都相同，IDS Number并不是SCI的收录号。在ISI Web of Science中，IDS number的解释为：Document Solution? number. This number uniquely identifies the journal and issue. It is used to order the full text of the article from Document Solution.
正确地获取SCI收录号的方法是：
（1）进入http://isiknowledge.com/
选择web of science，点“go”
（2）Select a search option选“ADVANCED SEARCH”
按照右边Field Tags和 Booleans提示，在输入方框中输入检索信息，比如
AU=fang AND TI=capacitor，然后点击“SEARCH”。
（3）点击“RESULTS”里的检索结果数字链接，如“3”，打开自己发表论文题目的链接,此时在Full record（包括Title、Author、Source... IDS number等）中有IDS Number: 226QR ，这个IDS number 并不是SCI的收录号。
（提醒：注意TI里的关键词一定要与你发表论文的词语匹配，包括单复数。）
（4）点击右边“Output This Record”下面的“SAVE”按钮，“Select a data format for the saved file.”有四个选项，选择HTML格式。
（5）选择HTML格式后，点击下面按钮“CONTINUE”,出现文件下载对话框（默认文件名为
“savedrecs.html”），点“保存为”，保存到自选的目录文件夹里。
（6）打开保存的HTML格式网页，或者下载完毕后直接打开保存的文件，这时得到的就是包含有形如UT ISI：000250604100008收录号的记录格式。获取ISTP的方法与此完全相同。
UT ISI：000250604100008收录号的记录格式举例
FN ISI Export Format
VR 1.0
PT J
AU Fang, DM
....
AF ...
....
TI Surface ...
SO MJ
SN 0026-2692
PD AUG-SEP
PY 2007
VL 38
IS 8-9
BP 855
EP 859
UT ISI:000250604100008
ER


这是方法，可以去查查

检索号是那个入藏号还是文章号呢？