Mingarelli, Angelo B. Nonlinear functionals in oscillation theory of matrix differential systems. (English) Zbl 1055.34067 Commun. Pure Appl. Anal. 3, No. 1, 75-84 (2004). 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) Cited in 8 Documents MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A30 Linear ordinary differential equations and systems Keywords:oscillation; Hamiltonian system; nonlinear functionals PDFBibTeX XMLCite \textit{A. B. Mingarelli}, Commun. Pure Appl. Anal. 3, No. 1, 75--84 (2004; Zbl 1055.34067) Full Text: DOI