Existence of positive solutions for a class of first order semi-positone periodic boundary value problems

This paper studies the existence of positive solutions for a class of first order semi-positone periodic boundary value problems ■ where k is a constant, k ＞ 0,λ is a parameter, λ ＞ 0,a: [ 0,1 ] → R is a continuous function, either f is nonnegative and continuous on [ 0,∞) with f（ 0）= 0 or f is posi...

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 50; no. 3; pp. 298 - 302
Main Author Yang, Wei
Format Journal Article
LanguageChinese
Published Hangzhou Zhejiang University 01.05.2023
Zhejiang University Press
Subjects
Boundary value problems
Continuity (mathematics)
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Summary:This paper studies the existence of positive solutions for a class of first order semi-positone periodic boundary value problems ■ where k is a constant, k ＞ 0,λ is a parameter, λ ＞ 0,a: [ 0,1 ] → R is a continuous function, either f is nonnegative and continuous on [ 0,∞) with f（ 0）= 0 or f is positive and continuous in（ 0,∞） and singular at 0. The existence of positive solutions of the problems is obtained by applying the method of upper and lower solutions.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2023.03.006