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

Nonlinear functionals in oscillation theory of matrix differential systems

Angelo B. Mingarelli 1,

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.
Keywords: second order differential systems, Hamiltonian systems, Oscillation, nonlinear functionals..
Mathematics Subject Classification: 34A30, 34C1.
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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