✦ LIBER ✦

Positive solutions for second-order three-point boundary value problems

✍ Scribed by Ruyun Ma

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 210 KB
Volume: 14
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00102-6

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✦ Synopsis

We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b* such that the problem has at least one solution for 0 < b < b* and no solution for b > b*.

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