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- W2074828462 abstract "By using Riccati transformation and the integral averaging technique, some new Kamenev-type oscillation criteria are established for the super-linear matrix differential systems X″(t)+(Xn(t)Q(t) X∗n(t))X(t)=0 and X″(t)+(X∗n(t)Q(t)Xn(t))X(t)=0,t⩾t0>0,n≥1, where Q(t) is an m×m continuous symmetric and positive definite matrix for t∈[t0,∞). The results improve and complement those given by Tomastik [E.C. Tomastik, Oscillation of nonlinear matrix differential equations of second-order, Proc. Amer. Math. Soc. 19 (1968) 1427–1431], Ahlbrandt et al. [C.D. Ahlbrandt, J. Ridenhour, R.C. Thompson, Oscillation of super-linear matrix differential equation, Proc. Amer. Math. Soc. 105 (1989) 141–148] and Ou [L.M. Ou, Atkinson’s super-linear oscillation theorem for matrix dynamic equations on a time scale, J. Math. Anal. Appl. 299 (2004) 615–629], which is illustrated by an example at the end of the paper." @default.
- W2074828462 created "2016-06-24" @default.
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- W2074828462 date "2009-03-01" @default.
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- W2074828462 title "New Kamenev-type theorems for super-linear matrix differential equations" @default.
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- W2074828462 doi "https://doi.org/10.1016/j.amc.2008.12.072" @default.
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