New oscillation criteria for second-order nonlinear matrix differential equations
Tóm tắt
Some new oscillation criteria are established for the second-order matrix differential system (r(t)Z′(t))′+p(t)Z′(t)+Q(t)F(Z′(t))G(Z(t))=0, t≥
0
>0, are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t
0
, ∞), rather than on the whole half-line. The results weaken the condition of Q(t) and generalize some well-known results of Wong (1999) to nonlinear matrix differential equation.
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