Nonlinear functionals in oscillation theory of matrix differential systems

Angelo B. Mingarelli

doi:10.3934/cpaa.2004.3.75

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2004, Volume 3, Issue 1: 75-84. Doi: 10.3934/cpaa.2004.3.75

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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

Received: October 31, 2002

Revised: June 30, 2003

Published: February 2004

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Abstract

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.

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Mathematics Subject Classification: 34A30, 34C10.

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