Oscillation criteria related to integral averaging technique for linear matrix Hamiltonian systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:295

Article

Wang, QR

关键词: matrix Hamiltonian system;    oscillation;    generalized Riccati technique;    integral averaging technique;   

DOI  :  10.1016/j.jmaa.2004.02.041

来源: Elsevier

【 摘 要 】

By employing a generalized Riccati technique and an integral averaging technique, new oscillation criteria are established for the linear matrix Hamiltonian system U' = A(x)U + B(x)V, V' = C(x)U - A*(x)V under the assumption that all A(x), B(x) = B*(x) > 0, and C(x) = C*(x) are n x n matrices of real-valued continuous functions on the interval I = [x(0), infinity) (-infinity < x(0)). These criteria extend, improve, and unify a number of existing results and also handle cases not covered by known criteria. Several interesting examples that illustrate the importance of our results are included. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free