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Existence of solutions for second-order three-point integral boundary value problems at resonance

✍ Scribed by Liu, Hongliang; Ouyang, Zigen

Book ID: 121605808
Publisher: Springer International Publishing AG
Year: 2013
Tongue: English
Weight: 169 KB
Volume: 2013
Category: Article
ISSN: 1687-2762
DOI: 10.1186/1687-2770-2013-197

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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 on