Open Access
March 2010 An asymptotic result for second order linear nonautonomous neutral delay differential equations
Ch. G. Philos, I. K. Purnaras
Hiroshima Math. J. 40(1): 47-63 (March 2010). DOI: 10.32917/hmj/1270645082

Abstract

In this paper, we establish a fundamental asymptotic result for the solutions to second order linear nonautonomous neutral delay differential equations. By the use of a solution of the corresponding generalized characteristic equation, we transform the second order neutral delay differential equation into a first order neutral delay differential equation and then we utilize its generalized characteristic equation.

Citation

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Ch. G. Philos. I. K. Purnaras. "An asymptotic result for second order linear nonautonomous neutral delay differential equations." Hiroshima Math. J. 40 (1) 47 - 63, March 2010. https://doi.org/10.32917/hmj/1270645082

Information

Published: March 2010
First available in Project Euclid: 7 April 2010

zbMATH: 1209.34091
MathSciNet: MR2642969
Digital Object Identifier: 10.32917/hmj/1270645082

Subjects:
Primary: 34K25 , 34K40

Keywords: asymptotic behavior , generalized characteristic equation , Neutral delay differential equation

Rights: Copyright © 2010 Hiroshima University, Mathematics Program

Vol.40 • No. 1 • March 2010
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