Monotonicity of a Key Function Arised in Studies of Nematic Liqorder Crystal Polymers
Hongyun Wang and Hong Zhou
Source: Abstr. Appl. Anal. Volume 2007 (2007), 7 pages.
Abstract
We revisit a key function arised in studies of nematic liqorder crystal polymers. Previously, it was conjectured that the function is strictly decreasing and the conjecture was numerically confirmed. Here we prove the conjecture analytically. More specifically, we write the derivative of the function into two parts and prove that each part is strictly negative.
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Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126595
Digital Object Identifier: doi:10.1155/2007/76209
Mathematical Reviews number (MathSciNet):
MR2345987
Abstract and Applied Analysis