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Positive solutions for nonhomogeneous m-point boundary value problems

✍ Scribed by Ruyun Ma

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 391 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90056-9

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✦ Synopsis

Let a e C[0,1], b E C([0, 1], (-ec,0]). Let d e R and d > 0. Let ¢1(t) be the unique solution of the linear boundary value problem u

We study the existence of positive solutions for the m-point boundary value problem

where ~i E (0, 1) and ai E (0, c~) (for i E {1 ..... m -2}) are given constants satisfying y~__~2 c~i x ¢1 ((i) < 1. Under suitable conditions, we show that there exists a positive number d* such that the problem has at least one solution for 0 < d < d* and no solution for d > d*.

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