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Positive Solutions for Semipositonem-point Boundary-value Problems

โœ Scribed by Ru Yun Ma*; Qiao Zhen Ma

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
167 KB
Volume
20
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES

Positive solutions for nonhomogeneous m-
Positive solutions for nonhomogeneous m-point boundary value problems
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 semi-positone thr
Positive solutions for semi-positone three-point boundary value problems
โœ Chengbo Zhai ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 492 KB

theorem of generalized cone expansion and compression a b s t r a c t Using a fixed point theorem of generalized cone expansion and compression we present in this paper criteria which guarantee the existence of at least two positive solutions for semi-positone three-point boundary value problems wit

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