IJPAM: Volume 62, No. 3 (2010)

NECESSARY AND SUFFICIENT CONDITIONS FOR
WEAK EXPONENTIAL INSTABILITY OF
EVOLUTION OPERATORS

Nicolae Lupa
Department of Mathematics
Faculty of Mathematics and Computer Science
West University of Timisoara
4, V. Pârvan, Blvd., Timisoara, 300223, ROMANIA
e-mail: [email protected]


Abstract.In this paper we give some necessary and sufficient conditions for weak exponential instability of evolution operators. Variants for the classical results due to Datko and Lyapunov are obtained.

Received: May 11, 2010

AMS Subject Classification: 34D20, 47D06, 93D30

Key Words and Phrases: evolution operators, weak exponential instability, Lyapunov function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 3