This article is cited in 11 papers

The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients

R. K. Romanovskii, L. V. Belgart

Omsk State Technical University, Omsk, Russia

Abstract: By the direct Lyapunov method we prove a sufficient condition for the exponential dichotomy with weakened (in comparison with a case of arbitrary coefficients) requirements to the difference derivative of the Lyapunov function along the system trajectory. We give an illustrating example.

Keywords: exponential dichotomy, indefinite Hermitian form, shell of an almost periodical matrix.

UDC: 517.9

Received: 21.01.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:10, 44–51

Bibliographic databases:

• 
•