## Abstract and Applied Analysis

### Monotonicity of a Key Function Arised in Studies of Nematic Liqorder Crystal Polymers

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 76209, 7 pages.

Dates
First available in Project Euclid: 27 February 2008

https://projecteuclid.org/euclid.aaa/1204126595

Digital Object Identifier
doi:10.1155/2007/76209

Mathematical Reviews number (MathSciNet)
MR2345987

Zentralblatt MATH identifier
1140.33310

#### Citation

Wang, Hongyun; Zhou, Hong. Monotonicity of a Key Function Arised in Studies of Nematic Liqorder Crystal Polymers. Abstr. Appl. Anal. 2007 (2007), Article ID 76209, 7 pages. doi:10.1155/2007/76209. https://projecteuclid.org/euclid.aaa/1204126595

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