Stability of Fast Oscillating Linear Functional Differential Equations

Proceedings of 7th International Conference „APLIMAT 2008” 2008
Jevgeņijs Carkovs, Kārlis Šadurskis

The paper deals with linear finite dimensional functional differential equations dependent on fast oscillating parameters. It is proved that for exponential stability analysis one may apply an averaging procedure to the time dependent generator of two-parameter shift operator family defined by this equation in the space of continuous functions. This method permits to reduce stability analysis to spectrum analysis of a closed operator with compact resolvent.

Keywords
Exponential stability, Lyapunov method, functional differential equations

Carkovs, J., Šadurskis, K. Stability of Fast Oscillating Linear Functional Differential Equations. In: Proceedings of 7th International Conference „APLIMAT 2008”, Slovakia, Brotislava, 3-8 February, 2008. Brotislava: Slovak University of Technology, 2008, pp.195-201.

Publication language
English (en)