SEMI-POSITONE NONLOCAL BOUNDARY VALUE PROBLEMS OF ARBITRARY ORDER

被引：37
|
作者：
Webb, J. R. L. [1 ]
Infante, Gennaro [2 ]
机构：
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
[2] Univ Calabria, Dipartimento Matemat, I-87036 Cosenza, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 02期
关键词：
Nonlocal boundary conditions; semi-positone; positive solution; MULTIPLE POSITIVE SOLUTIONS; HAMMERSTEIN INTEGRAL-EQUATIONS; SEMILINEAR DIFFERENTIAL-EQUATIONS; EXISTENCE; SINGULARITIES; ANNULUS; KERNELS; THEOREM;
D O I：
10.3934/cpaa.2010.9.563
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a unified approach to the study of existence of multiple positive solutions for semi-positone boundary value problems of arbitrary order. We cover local and nonlocal boundary conditions. Our nonlocal boundary conditions are quite general, they involve positive linear functionals on the space C[0, 1], given by Stieltjes integrals. With our general theory, we can, for the first time in semi-positone problems, allow any number of the boundary conditions to be nonlocal.
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页码：563 / 581
页数：19
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