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.

引用

页码：563 / 581

页数：19

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