Nonlinear functionals in oscillation theory of matrix differential systems. (English) Zbl 1055.34067
The author presents general oscillation criteria for the second-order two-terms linear differential system
\[
(P(t)Y')'+Q(t)Y=0.
\]
Obtained results are established by using nonlinear functionals on a suitable matrix space.
Reviewer: Jozef Dzurina (Kosice)
MSC:
34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
34A30 | Linear ordinary differential equations and systems |