๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Bounds for positive solutions for a focal boundary value problem

โœ Scribed by F. Atici; A. Peterson

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

No coin nor oath required. For personal study only.

โœฆ Synopsis

We will be concerned with the focal boundary value problem (-1)'~An[p(t)Any (h,t,y(t) ..... An-ls/(t)), Ail/(0) = A'~+ill(b+ 1) ----0, 0 _< i _< n --1. Using cone theory in a Bausch space, we show that under certain Bumptioas on f, this focal boundary value problem has two positive solutions. In the special case --A21/(t-1) ----h2[ya(t) +I/B(t)], g/(0) --Ay(b+ 1) ----0, where 0 < ยข~ < 1 < fl, we are able to exhibit upper and lower bounds for thee two pceitive solutions.

๐Ÿ“œ SIMILAR VOLUMES

Three positive solutions to a discrete f
Three positive solutions to a discrete focal boundary value problem
โœ D. Anderson; R. Avery; A. Peterson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 496 KB

We are concerned with the discrete focal boundary value problem A3 Under various assumptions on f and the integers a, t2, and b we prove the existence of three positive solutions of this boundary value problem. To prove our results we use fixed point theorems concerning cones in a Banach space.