DOUBLE SOLUTIONS OF THREE-POINT BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS

被引:0
作者
Henderson, Johnny [1 ]
机构
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
关键词
Fixed point theorem; three-point; boundary-value problem;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation, [GRAPHICS] where 0 < p < 1 is fixed, and f : R -> [0, infinity) is continuous.
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页数:7
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共 19 条
[1]   Solutions to second-order three-point problems on time scales [J].
Anderson, DR .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (08) :673-688
[2]   Fixed point theorem of cone expansion and compression of functional type [J].
Anderson, DR ;
Avery, RI .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (11) :1073-1083
[3]  
Avery R.I., 2001, Comm. Appl. Nonlinear Anal, V8, P27
[4]   Three positive fixed points of nonlinear ordered Banach spaces [J].
Avery, RI ;
Peterson, AC .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :313-322
[5]   Twin solutions of boundary value problems for ordinary differential equations and finite difference equations [J].
Avery, RI ;
Chyan, CJ ;
Henderson, J .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :695-704
[6]   Existence of multiple positive solutions for nonlinear m-point boundary value problems [J].
Bai, CZ ;
Fang, JX .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) :76-85
[7]   Solvability of m-point boundary value problems with nonlinear growth [J].
Feng, W ;
Webb, JRL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :467-480
[8]   On an m-point boundary value problem [J].
Feng, WY .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) :5369-5374
[9]   Positive solutions for second-order m-point boundary value problems [J].
Guo, YP ;
Shan, WR ;
Ge, WG .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 151 (02) :415-424
[10]   A generalized multi-point boundary value problem for second order ordinary differential equations [J].
Gupta, CP .
APPLIED MATHEMATICS AND COMPUTATION, 1998, 89 (1-3) :133-146