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STABLE PERIODIC SOLUTIONS IN SCALAR PERIODIC DIFFERENTIAL DELAY EQUATIONS.
- Source :
-
Archivum Mathematicum . 2023, Vol. 59 Issue 1, p69-76. 8p. - Publication Year :
- 2023
-
Abstract
- A class of nonlinear simple form differential delay equations with a τ-periodic coefficient and a constant delay τ > 0 is considered. It is shown that for an arbitrary value of the period T > 4τ -- d0, for some d0 > 0, there is an equation in the class such that it possesses an asymptotically stable T-period solution. The periodic solutions are constructed explicitly for the piecewise constant nonlinearities and the periodic coefficients involved, by reduction of the problem to one-dimensional maps. The periodic solutions and their stability properties are shown to persist when the nonlinearities are "smoothed" at the discontinuity points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL forms
*DELAY differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 00448753
- Volume :
- 59
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Archivum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 162687961
- Full Text :
- https://doi.org/10.5817/AM2023-1-69