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
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