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Positive solutions for third-order three-point nonhomogeneous boundary value problems

โœ Scribed by Yongping Sun


Book ID
108052396
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
499 KB
Volume
22
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Ruyun Ma ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

Let a e C[0,1], b E C([0, 1], (-ec,0]). Let d e R and d > 0. Let ยข1(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 s

Positive solutions for second-order thre
โœ Ruyun Ma ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

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