Oscillation Criteria for Nonlinear Second Order Matrix Differential Equations
- 1 February 1971
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 27 (2) , 259-267
- https://doi.org/10.2307/2036304
Abstract
The object of this paper is to present sufficient conditions for the oscillation of certain solutions of the second order, nonlinear matrix differential equation. The oscillation criteria obtained here improve the recent results of the author and E. C. Tomastik. The methods employed in the paper extend a technique introduced by H. C. Howard and for the special linear version of the nonlinear equation, the resulting oscillation criteria represent improvement of Howard's work. Using an extension of the unitary transformation introduced by F. V. Atkinson, estimates of the oscillation of solutions are obtained.Keywords
This publication has 5 references indexed in Scilit:
- On the oscillation of solutions of second order self-adjoint matrix differential equationsJournal of Differential Equations, 1969
- Oscillation of Nonlinear Matrix Differential Equations of Second OrderProceedings of the American Mathematical Society, 1968
- On the determinants of solutions of second-order matrix differential systemsJournal of Mathematical Analysis and Applications, 1967
- Oscillation Criteria for Matrix Differential EquationsCanadian Journal of Mathematics, 1967
- Oscillatory Properties of Certain Nonlinear Matrix Differential Systems of Second OrderTransactions of the American Mathematical Society, 1966