IJPAM: Volume 51, No. 1 (2009)
STABILITY IN TERMS OF TWO MEASURES FOR
INITIAL TIME DIFFERENCES FOR DIFFERENTIAL
EQUATIONS BY PERTURBING LYAPUNOV FUNCTIONS
INITIAL TIME DIFFERENCES FOR DIFFERENTIAL
EQUATIONS BY PERTURBING LYAPUNOV FUNCTIONS
S.G. Hristova
, I. Russinov
Department of Applied Mathematics and Modeling
Plovdiv University
Plovdiv, 4000, BULGARIA
e-mail: snehri@uni-plovdiv.bg



Plovdiv University
Plovdiv, 4000, BULGARIA

Abstract.Stability in terms of two measures for nonlinear differential equations is studied. Perturbing Lyapunov functions have been applied. Both cases of scalar Lyapunov functions and cone-valued Lyapunov functions are considered. Comparison scalar ordinary differential equations have been employed.
Received: October 14, 2008
AMS Subject Classification: 34D20
Key Words and Phrases: stability in two measures, Lyapunov functions, ordinary differential equations
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1