Abstract:
It is proved that all strong exponents of oscillations considered as functionals on the set of solutions to linear homogeneous two-dimensional differential systems with continuous coefficients bounded on the semi-line are not residual (i.e. can be changed when changing solution on a finite interval). An example of two-dimensional system is provided with a solution that has all strong oscillation exponents differing from corresponding weak exponents.
Key words:linear differential system, solution variability, number of zeroes function, strong oscillation exponents, weak oscillation exponents.