Oscillation Criteria for Matrix Differential Inequalities(1)
W. Allegretto, Lynn Erbe · Canadian Mathematical Bulletin · 1973
Several authors have recently considered the problem of obtaining sufficient conditions for the oscillation of the quasilinear matrix differential equation (1) and the associated inequality VTLV ≤ 0 (as a form). Here A, B, and V are m x m matrix functions, A(x) is symmetric, positive semidefinite and continuous in an interval [a, ∞) and B(x,V, V') is symmetric and continuous in a≤ x < ∞ for all V and V'.