Geodesic
Oscillation Criteria for Matrix Differential Inequalities(1)
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 5-10

Voir la notice de l'article provenant de la source Cambridge University Press

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 V TLV ≤ 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'. 
Allegretto, W.; Erbe, L. Oscillation Criteria for Matrix Differential Inequalities(1). Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 5-10. doi: 10.4153/CMB-1973-002-0
@article{10_4153_CMB_1973_002_0,
     author = {Allegretto, W. and Erbe, L.},
     title = {Oscillation {Criteria} for {Matrix} {Differential} {Inequalities(1)}},
     journal = {Canadian mathematical bulletin},
     pages = {5--10},
     year = {1973},
     volume = {16},
     number = {1},
     doi = {10.4153/CMB-1973-002-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-002-0/}
}
TY  - JOUR
AU  - Allegretto, W.
AU  - Erbe, L.
TI  - Oscillation Criteria for Matrix Differential Inequalities(1)
JO  - Canadian mathematical bulletin
PY  - 1973
SP  - 5
EP  - 10
VL  - 16
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-002-0/
DO  - 10.4153/CMB-1973-002-0
ID  - 10_4153_CMB_1973_002_0
ER  - 
%0 Journal Article
%A Allegretto, W.
%A Erbe, L.
%T Oscillation Criteria for Matrix Differential Inequalities(1)
%J Canadian mathematical bulletin
%D 1973
%P 5-10
%V 16
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-002-0/
%R 10.4153/CMB-1973-002-0
%F 10_4153_CMB_1973_002_0

[1] 1. Allegretto, W. and Swanson, C. A., Oscillation criteria for elliptic systems, Proc. Amer. Math. Soc. 27 (1971), 325–330. Google Scholar

[2] 2. Kreith, K., Oscillation criteria for nonlinear matrix differential equations, Proc. Amer. Math. Soc. 26 (1970), 270–272. Google Scholar

[3] 3. Leighton, W., On self-adjoint differential equations of second order, J. London Math. Soc. 27 (1952), 37–47. Google Scholar

[4] 4. Marcus, M. and Mine, H., A survey of matrix theory and matrix inequalities Allyn and Bacon, Boston, Mass., 1964. Google Scholar

[5] 5. Noussair, E. and Swanson, C. A., Oscillation criteria for differential systems (to appear). Google Scholar

[6] 6. Swanson, C. A., Oscillation criteria for nonlinear matrix differential inequalities, Proc. Amer. Math. Soc. 24(1970), 824–827. Google Scholar

[7] 7. Tomastik, E. C., Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc. 19 (1968), 1427–1431. Google Scholar

[8] 8. Tomastik, E. C., Oscillation of systems of second order differential equations, J. Differential Equations. 9 (1971), 436–442. Google Scholar

Cité par Sources :