# American Institute of Mathematical Sciences

March  2004, 3(1): 75-84. doi: 10.3934/cpaa.2004.3.75

## Nonlinear functionals in oscillation theory of matrix differential systems

 1 School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada, K1S 5B6, Canada

Received  November 2002 Revised  July 2003 Published  January 2004

General oscillation criteria for second order two-term linear differential systems and, as a consequence, a more general class of Hamiltonian systems with symmetric coefficients are established using nonlinear functionals on a suitable matrix space. This extends and unifies most known results dealing with oscillation criteria using the particular maximum eigenvalue functional.
Citation: Angelo B. Mingarelli. Nonlinear functionals in oscillation theory of matrix differential systems. Communications on Pure & Applied Analysis, 2004, 3 (1) : 75-84. doi: 10.3934/cpaa.2004.3.75
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