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On the dominance of roots of characteristic equations for neutral functional differential equations
- Source :
-
Applied Mathematics & Computation . Aug2009, Vol. 214 Issue 1, p66-72. 7p. - Publication Year :
- 2009
-
Abstract
- Abstract: We present a sufficient condition for a zero of a function that arises typically as the characteristic equation of a linear functional differential equations of neutral type, to be simple and dominant. This knowledge is useful in order to derive the asymptotic behaviour of solutions of such equations. A simple characteristic equation, arisen from the study of delay equations with small delay, is analyzed in greater detail. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 214
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 41239974
- Full Text :
- https://doi.org/10.1016/j.amc.2009.03.058