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Discrete third-order three-point right-focal boundary value problems

✍ Scribed by D.R. Anderson

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 552 KB
Volume: 45
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)80157-8

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✦ Synopsis

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 of positive solutions of both problems by applying a fixed-point theorem.

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