POSITIVE SOLUTIONS AND J-FOCAL POINTS FOR 2 POINT BOUNDARY-VALUE-PROBLEMS

被引:9
|
作者
ELOE, PW
HANKERSON, D
HENDERSON, J
机构
[1] UNIV DAYTON,DEPT MATH,DAYTON,OH 45469
[2] AUBURN UNIV,DEPT ALGEBRA COMBINATOR & ANAL,AUBURN,AL 36849
关键词
D O I
10.1216/rmjm/1181072655
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Cone theory is applied to a class of two point boundary value problems for ordinary differential equations. Criteria for the existence of extremal points are obtained. These criteria are in terms of the existence of nontrivial solutions that lie in a cone, and in terms of the spectral radius of an associated compact linear operator.
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页码:1283 / 1293
页数:11
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