On sign constant solutions of certain boundary value problems for second-order functional differential equations

On the interval [a, b], we consider the boundary value problems u"(t) = l (u)(t) + q(t); u(a) = 0, u(b) = 0, u"(t) = l(u)(t) + q(t); u(a) = 0, u(b) = u(to), and u"(t) = l(u)(t) + q(t); u(a) = 0, u'(b) = 0, where l : C([a, b]; R) - > L([a, b]; R) and q E L([a, b]; R). The exist...

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Published inApplicable analysis Vol. 84; no. 2; pp. 197 - 209
Main Authors Lomtatidze, A., Vodstrčil §, P.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2005
Subjects
2000 Mathematics Subject Classifications: 34K06
Nonlocal BVP
Nonnegative solution
Second-order linear functional differential equation
Two-point BVP
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Summary:On the interval [a, b], we consider the boundary value problems u"(t) = l (u)(t) + q(t); u(a) = 0, u(b) = 0, u"(t) = l(u)(t) + q(t); u(a) = 0, u(b) = u(to), and u"(t) = l(u)(t) + q(t); u(a) = 0, u'(b) = 0, where l : C([a, b]; R) - > L([a, b]; R) and q E L([a, b]; R). The existence and uniqueness of nonnegative solutions of these problems are studied. pvodstrc@math.muni.cz
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810410001724427