Semicontinuity of majorants and minorants of Lyapunov exponents as functions of a complex parameter
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2018), pp. 63-67
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
A parametric family of linear differential systems with continuous coefficients bounded on the semi-axis and analytically dependent on a complex parameter is considered. It is established that the majorant (minorant) of the Lyapunov exponent considered as a function of the parameter is upper (lower) semi-continuous.
[1] Millionschikov V.M., “Berovskie klassy funktsii i pokazateli Lyapunova. I”, Differents. uravneniya, 16:8 (1980), 1408–1416 | MR
[2] Vetokhin A.N., “K zadache o minorantakh pokazatelei Lyapunova”, Differents. uravneniya, 49:7 (2013), 950–952 | MR | Zbl
[3] Millionschikov V.M., “O mazhorantakh i minorantakh ekstraordinarnykh pokazatelei Lyapunova”, Differents. uravneniya, 31:9 (1995), 1601
[4] Khermander L., Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR