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Triple positive solutions of conjugate boundary value problems

โœ Scribed by P.J.Y. Wong

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
771 KB
Volume
36
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 the boundary value problems.

As an application, we also establish the existence of radial solutions of certain partial difference equations. Several examples are included to dwell upon the importance of the results obtained.

๐Ÿ“œ SIMILAR VOLUMES

Triple positive solutions of conjugate b
Triple positive solutions of conjugate boundary value problems II
โœ P.J.Y Wong ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 936 KB

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)),

Triple positive solutions for boundary v
Triple positive solutions for boundary value problems on infinite intervals
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