POSITIVE SOLUTIONS FOR A SYSTEM OF SINGULAR SECOND-ORDER INTEGRAL BOUNDARY VALUE PROBLEMS

被引:1
作者
Henderson, Johnny [1 ]
Luca, Rodica [2 ]
机构
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
来源
FIXED POINT THEORY | 2018年 / 19卷 / 01期
关键词
System of second-order differential equations; integral boundary conditions; positive solutions; singular functions; fixed point index; NONNEGATIVE SOLUTIONS; EXISTENCE; EQUATIONS; ORDER;
D O I
10.24193/fpt-ro.2018.1.20
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the existence of positive solutions of a system of second-order nonlinear differential equations subject to integral boundary conditions, where the nonlinearities do not possess any sublinear or superlinear growth conditions and may be singular.
引用
收藏
页码:249 / 264
页数:16
相关论文
共 42 条
[1]   Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions [J].
Ahmad, Bashir ;
Alsaedi, Ahmed ;
Alghamdi, Badra S. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) :1727-1740
[2]  
[Anonymous], 2002, ELECTRON J DIFFER EQ
[3]   On Green's functions and positive solutions for boundary value problems on time scales [J].
Atici, FM ;
Guseinov, GS .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :75-99
[4]  
Boucherif A., 2006, ELECTRON J QUAL THEO, V7, P1
[5]   Second-order boundary value problems with integral boundary conditions [J].
Boucherif, Abdelkader .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) :364-371
[6]   Nonnegative solutions of quasilinear elliptic problems with nonnegative coefficients [J].
Cac, NP ;
Fink, AM ;
Gatica, JA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (01) :1-9
[7]  
Cannon J.R., 1964, Q APPL MATH, V22, P155
[8]  
Chegis R. Yu, 1984, MAT SBORNIK, V24, P209
[9]   On existence of positive solutions of coupled integral boundary value problems for a nonlinear singular superlinear differential system [J].
Cui, Yujun ;
Sun, Jingxian .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (41) :1-13
[10]  
DEFIGUEIREDO DG, 1982, J MATH PURE APPL, V61, P41