Three-point boundary value problems for second-order, ordinary, differential equations

被引:23
作者
Thompson, HB [1 ]
Tisdell, C [1 ]
机构
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
关键词
three-point boundary value problem; second-order ordinary differential equations; upper and lower solutions; degree theory; nonlinear three-point boundary conditions;
D O I
10.1016/S0895-7177(01)00063-2
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We establish existence results for solutions to three-point boundary value problems for nonlinear, second-order, ordinary differential equations with nonlinear boundary conditions. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:311 / 318
页数:8
相关论文
共 13 条
[1]  
Ako K., 1969, FUNKC EKVACIOJ, V12, P239
[2]  
Ehme J., 1994, NONLINEAR TIMES DIGE, V1, P133
[3]   SOLVABILITY OF AN M-POINT BOUNDARY-VALUE PROBLEM FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].
GUPTA, CP ;
NTOUYAS, SK ;
TSAMATOS, PC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (02) :575-584
[4]   A sharper condition for the solvability of a three-point second order boundary value problem [J].
Gupta, CP ;
Trofimchuk, SI .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 205 (02) :586-597
[5]   COMPARISON THEOREMS FOR NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS [J].
KNOBLOCH, HW .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1965, 1 (01) :1-&
[6]   Existence theorems for a second order three-point boundary value problem [J].
Ma, RY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :430-442
[7]   Existence theorems for a second order m-point boundary value problem [J].
Ma, RY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 211 (02) :545-555
[8]   A REMARK ON A 2ND-ORDER 3-POINT BOUNDARY-VALUE PROBLEM [J].
MARANO, SA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 183 (03) :518-522
[9]   PERIODIC SOLUTIONS OF NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS [J].
SCHMITT, K .
MATHEMATISCHE ZEITSCHRIFT, 1967, 98 (03) :200-&
[10]   Multipoint boundary value problems for a second-order ordinary differential equation [J].
Sedziwy, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 236 (02) :384-398