Taiwanese Journal of Mathematics

Absence of Real Roots of Characteristic Functions of Functional Differential Equations with Nine Real Parameters

Shao-Yuan Huang and Sui-Sun Cheng

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Abstract

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.

Article information

Source
Taiwanese J. Math., Volume 15, Number 1 (2011), 395-432.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406182

Digital Object Identifier
doi:10.11650/twjm/1500406182

Mathematical Reviews number (MathSciNet)
MR2780292

Zentralblatt MATH identifier
1235.34176

Subjects
Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

Keywords
functional differential equations Cheng-Lin envelope method characteristic function oscillation criteria dual sets

Citation

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


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References

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