Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 15, Number 1 (2011), 395-432.
Absence of Real Roots of Characteristic Functions of Functional Differential Equations with Nine Real Parameters
We consider the oscillation of a class of first order neutral differential equations with nine real parameters. This relatively difficult problem is completely solved by applying the Cheng-Lin envelope method to find the exact conditions for the absence of real roots of the associated characteristic function. Several specific examples are also included to illustrate these conditions.
Taiwanese J. Math., Volume 15, Number 1 (2011), 395-432.
First available in Project Euclid: 18 July 2017
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Zentralblatt MATH identifier
Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
Huang, Shao-Yuan; Cheng, Sui-Sun. Absence of Real Roots of Characteristic Functions of Functional Differential Equations with Nine Real Parameters. Taiwanese J. Math. 15 (2011), no. 1, 395--432. doi:10.11650/twjm/1500406182. https://projecteuclid.org/euclid.twjm/1500406182