Nonintegral criterion for oscillations of linear Hamiltonian matrix systems

[摘要] In this paper we present nonintegral criteria for oscillation of linear Hamiltonian matrix system U ' = A(x)U + B(x) V, V ' = C(x) U - A*(x)V under the hypothesis (H): A(x), B(x) = B*(x) > 0, and C(x) = C* (x) are 2 x 2 matrices of real valued continuous functions on the interval 1 = [a, infinity), (-infinity < a). These criteria are conditions of algebraic type only. Our results are also useful for the detection of the oscillation of particular matrix differential systems. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] matrix system;oscillation theory;differential system;Hamiltonian system