Oscillation criteria for nonlinear matrix differential equations
Abstract: Oscillation criteria are established for nonlinear matrix differential equations of the form . These criteria are more general than some similar ones of E. C. Tomastik insofar as they do not require to be positive definite.
- E. C. Tomastik, Oscillation of nonlinear matrix differential equations of second order, Proc. Amer. Math. Soc. 19 (1968), 1427-1431. MR 38 #372. MR 0232046 (38:372)
- E. L. Ince, Ordinary differential equations, Longmans, Green, London, 1926; reprint, Dover, New York, 1944. MR 6, 65. MR 0010757 (6:65f)
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Keywords: Oscillation criteria, prepared solution, Picone-type identity, Sturm-Liouville equation, Leighton oscillation criterion
Article copyright: © Copyright 1970 American Mathematical Society