Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

<p/> <p>Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems <inline-formula><graphic file="1687-2770-2007-023108-i1.gif"/></inline-formula>, <inline-formul...

Full description

Bibliographic Details
Main Authors: Lin Yuguo, Pei Minghe
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2007/023108
id doaj-97a92d29876a4e7d9028cbe334d33ebc
record_format Article
spelling doaj-97a92d29876a4e7d9028cbe334d33ebc2020-11-24T21:36:24ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-01-0120071023108Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue ProblemLin YuguoPei Minghe<p/> <p>Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems <inline-formula><graphic file="1687-2770-2007-023108-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i3.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i4.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i5.gif"/></inline-formula>, where <inline-formula><graphic file="1687-2770-2007-023108-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i7.gif"/></inline-formula> is fixed, <inline-formula><graphic file="1687-2770-2007-023108-i8.gif"/></inline-formula> is continuous with <inline-formula><graphic file="1687-2770-2007-023108-i9.gif"/></inline-formula> for some positive constant <inline-formula><graphic file="1687-2770-2007-023108-i10.gif"/></inline-formula>.</p>http://www.boundaryvalueproblems.com/content/2007/023108
collection DOAJ
language English
format Article
sources DOAJ
author Lin Yuguo
Pei Minghe
spellingShingle Lin Yuguo
Pei Minghe
Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
Boundary Value Problems
author_facet Lin Yuguo
Pei Minghe
author_sort Lin Yuguo
title Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
title_short Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
title_full Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
title_fullStr Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
title_full_unstemmed Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem
title_sort positive solutions for two-point semipositone right focal eigenvalue problem
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2007-01-01
description <p/> <p>Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems <inline-formula><graphic file="1687-2770-2007-023108-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i3.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i4.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i5.gif"/></inline-formula>, where <inline-formula><graphic file="1687-2770-2007-023108-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-2770-2007-023108-i7.gif"/></inline-formula> is fixed, <inline-formula><graphic file="1687-2770-2007-023108-i8.gif"/></inline-formula> is continuous with <inline-formula><graphic file="1687-2770-2007-023108-i9.gif"/></inline-formula> for some positive constant <inline-formula><graphic file="1687-2770-2007-023108-i10.gif"/></inline-formula>.</p>
url http://www.boundaryvalueproblems.com/content/2007/023108
work_keys_str_mv AT linyuguo positivesolutionsfortwopointsemipositonerightfocaleigenvalueproblem
AT peiminghe positivesolutionsfortwopointsemipositonerightfocaleigenvalueproblem
_version_ 1725941303959617536