Oscillation Criteria for Matrix Differential Inequalities(1)

Canadian Mathematical Bulletin - Tập 16 Số 1 - Trang 5-10 - 1973
W. Allegretto1, Lynn Erbe1
1University of Alberta, Edmonton, Alberta

Tóm tắt

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'.

Từ khóa


Tài liệu tham khảo

10.1112/jlms/s1-27.1.37

Swanson, 1970, Oscillation criteria for nonlinear matrix differential inequalities, Proc. Amer. Math. Soc., 24, 824

10.1090/S0002-9939-1970-0264163-4

10.1016/0022-0396(71)90016-7

10.1090/S0002-9939-1971-0276592-4

10.1016/0022-247X(71)90039-4

Marcus, 1964, A survey of matrix theory and matrix inequalities

Tomastik, 1968, Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc., 19, 1427

Thông tin
Thông tin xuất bản

Canadian Mathematical Bulletin

Tập 16 Số 1

5-10

Thông tin tác giả