Oscillation criteria for second order self-adjoint matrix differential equations
Parhi, N. ; Praharaj, P.
Annales Polonici Mathematici, Tome 72 (1999), p. 1-14 / Harvested from The Polish Digital Mathematics Library

Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:262798
@article{bwmeta1.element.bwnjournal-article-apmv72z1p1bwm,
     author = {Parhi, N. and Praharaj, P.},
     title = {Oscillation criteria for second order self-adjoint matrix differential equations},
     journal = {Annales Polonici Mathematici},
     volume = {72},
     year = {1999},
     pages = {1-14},
     zbl = {1003.34028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p1bwm}
}
Parhi, N.; Praharaj, P. Oscillation criteria for second order self-adjoint matrix differential equations. Annales Polonici Mathematici, Tome 72 (1999) pp. 1-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p1bwm/

[000] [1] J. H. Barrett, Oscillation theory of ordinary linear differential equations, Adv. Math. 3 (1969), 415-509, and Lectures on Differential Equations, R. McKelvey (ed.), Academic Press, New York, 1970. | Zbl 0213.10801

[001] [2] G. J. Butler and L. H. Erbe, Oscillation results for second order differential systems, SIAM J. Math. Anal. 17 (1986), 19-29. | Zbl 0583.34027

[002] [3] G. J. Butler, L. H. Erbe and A. B. Mingareli, Riccati techniques and variational principles in oscillation theory for linear systems, Trans. Amer. Math. Soc. 503 (1987), 263-282.

[003] [4] W. J. Coles, An oscillation criterion for second order linear differential equations, Proc. Amer. Math. Soc. 19 (1968), 755-759. | Zbl 0172.11702

[004] [5] P. Hartman, On nonoscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389-400. | Zbl 0048.06602

[005] [6] H. C. Howard, Oscillation criteria for matrix differential equations, Canad. J. Math. 19 (1967), 184-199. | Zbl 0148.07203

[006] [7] W. Leighton, On self-adjoint differential equations of second order, J. London Math. Soc. 27 (1952), 37-47. | Zbl 0048.06503

[007] [8] A. B. Mingareli, On a conjecture for oscillation of second order ordinary differential systems, Proc. Amer. Math. Soc. 82 (1981), 593-598.

[008] [9] E. S. Noussair and C. A. Swanson, Oscillation criteria for differential systems, J. Math. Anal. Appl. 36 (1971), 575-580. | Zbl 0222.34008

[009] [10] C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York, 1968.

[010] [11] D. Willet, Classification of second order linear differential equations with respect to oscillation, Adv. Math. 3 (1969), 594-623, and Lectures on Differential Equations, R. McKelvey (ed.), Academic Press, New York, 1970.

[011] [12] A. Wintner, A criterion of oscillatory stability, Quart. Appl. Math. 7 (1949), 115-117. | Zbl 0032.34801

[012] [13] J. S. W. Wong, Oscillation and nonoscillation of solutions of second order linear differential equations with integrable coefficients, Trans. Amer. Math. Soc. 144 (1969), 197-215. | Zbl 0195.37402