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Multiple positive solutions to a third-order discrete focal boundary value problem

โœ Scribed by D. Anderson; R.I. Avery


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
280 KB
Volume
42
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES


Three positive solutions to a discrete f
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.

Multiple Solutions and Eigenvalues for T
โœ Douglas R Anderson; John M Davis ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

with the same boundary conditions. Under various assumptions on f , a, and ฮป we establish intervals of the parameter ฮป which yield the existence of a positive solution of the eigenvalue problem. By placing certain restrictions on the nonlinearity, we prove the existence of at least one, at least two

Discrete third-order three-point right-f
โœ D.R. Anderson ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 552 KB

we are concerned with the discrete right-focal boundary value problem A3z(t) = f(t, z(t + l)), z(ti) = Az(tz) = A2z(ts) = 0, and the eigenvalue problem A3z(t) = Xa(t)f(z(t + 1)) with the same boundary conditions, where tl < t2 < t3. Under various assumptions on f, a, and X, we prove the existence o

Existence of monotone positive solutions
โœ Zeqing Liu; Lokenath Debnath; Shin Min Kang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

In this paper, we are concerned with the third order two-point generalized right focal boundary value problem A few new results are given for the existence of at least one, two, three and infinitely many monotone positive solutions of the above boundary value problem by using the Krasnosel'skii fix

Bounds for positive solutions for a foca
โœ F. Atici; A. Peterson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

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 t

Multiple positive solutions of two-point
โœ P.J.Y. Wong; R.P. Agarwal ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 590 KB

consider the following boundary value problem: y(')(O) = 0, o<i<p-1, y(')(l) = 0, p<i<\_n-1, where 1 < p 5 n -1 is fixed. Using a fixed point theorem for operator0 on a cone, we offer eufflcient conditione for the existence of multiple (at least three) positive eolutions of the boundary value probl