An Existence and Uniqueness Result for a Bending Beam Equation without Growth Restriction

Yongxiang Li and He Yang

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We discuss the solvability of the fourth‐order boundary value problem u(4) = f(t, u, u′′), 0 ≤ t ≤ 1, u(0) = u(1) = u′′(0) = u′′(1) = 0, which models a statically bending elastic beam whose two ends are simply supported, where f : [0,1] × ℝ2 → ℝ is continuous. Under a condition allowing that f(t, u, v) is superlinear in u and v, we obtain an existence and uniqueness result. Our discussion is based on the Leray‐Schauder fixed point theorem.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2010/694590

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:2010:y:2010:i:1:n:694590

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 ().