NONNEGATIVE SOLUTIONS TO AN INTEGRAL EQUATION AND ITS APPLICATIONS TO SYSTEMS OF BOUNDARY VALUE PROBLEMS

被引：0
作者：
Purnaras, Ioannis K. [1 ]
机构：
[1] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年
关键词：
Nonnegative solutions; integral equation; eigenvalue; systems of boundary value problems; MULTIPLE POSITIVE SOLUTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of positive eigenvalues yielding nonnegative solutions to an integral equation. Also we study the positivity of solutions on specific sets. These results are obtained by using a fixed point theorem in cones and are illustrated by application to systems of boundary value problems.
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页数：30
相关论文
共 35 条
[1]  
[Anonymous], J SYSTEMS SCI MATH S
[2]  
[Anonymous], NONLINEAR DYN SYST T
[3]  
[Anonymous], GLOBAL J MATH ANAL
[4]  
[Anonymous], 2008, NONLINEAR STUD
[5]  
[Anonymous], NONLINEAR ANAL
[6]   Eigenvalue problems for systems of nonlinear boundary value problems on time scales [J].
Benchohra, M. ;
Henderson, J. ;
Ntouyas, S. K. .
ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
[7]   Green's function and positive solutions of nth order m-point boundary value problem [J].
Changci, Pang ;
Wei, Dong ;
Zhongli, Wei .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) :1231-1239
[8]   Positive solutions to a multi-point higher order boundary value problem [J].
Graef, JR ;
Yang, B .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) :409-421
[9]  
Guo D., 1988, Nonlinear Problems in Abstract Cones
[10]   Existence of positive solutions for nonlinear third-order three-point boundary value problems [J].
Guo, Li-Jun ;
Sun, Jian-Ping ;
Zhao, Ya-Hong .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (10) :3151-3158
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