Bifurcation from Interval and Positive Solutions of a Nonlinear Second‐Order Dynamic Boundary Value Problem on Time Scales

Hua Luo

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Let 𝕋 be a time scale with 0, T ∈ 𝕋. We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second‐order dynamic equation on a time scale 𝕋, uΔΔ(t) + f(t, uσ(t)) = 0, t ∈ [0, T] 𝕋, u(0) = u(σ2(T)) = 0, which is not necessarily linearizable. Our approaches are based on topological degree theory and global bifurcation techniques.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/316080

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:316080

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().