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Triple positive solutions of conjugate boundary value problems II

โœ Scribed by P.J.Y Wong


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
936 KB
Volume
40
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


We shall employ some fixed-point theorems for operators on a cone to obtain existence criteria for (at least) three positive solutions of the following continuous and discrete systems of boundary value problems:

2,...,m and (-1) ~-p, A~yi(k) = Fi(k, ~l(k), ~2(k) ..... ~m(k)),


๐Ÿ“œ SIMILAR VOLUMES


Triple positive solutions of conjugate b
โœ P.J.Y. Wong ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 771 KB

We consider the following boundary value problems: n > 2, t e (0,1), ## and (-1)n-PAny=F(k,y, Ay,...,An-ly), n>2, 0<k<m, where 1 < p < n -1 is fixed. By employing fixed-point theorems for operators on a cone, existence criteria are developed for multiple (at least three) positive solutions of t

Triple positive solutions for boundary v
โœ Hairong Lian; Huihui Pang; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

This paper deals with the existence of triple positive solutions for Sturm-Liouville boundary value problems of second-order nonlinear differential equation on a half line. By using a fixed point theorem in a cone due to Avery-Peterson, we show the existence of at least three positive solutions with