Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems-Reference-Cited by-同舟云学术

Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems

Published:2011 Issue: Volume:2011 Page:1-12
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Guo Yingxin¹²,Wang Junchang³

Affiliation:

1. College of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China

2. Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, China

3. Department of Mathematics, Shangqiu Normal University, Shangqiu, Henan 476000, China

Abstract

By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second-order matrix differential systemU′=A(x)U+B(t)V,V′=C(x)U−A∗(t)V, whereA(t),B(t), andC(t)are(n×n)-matrices, andB,Care Hermitian. These results are sharper than some previous results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/659503.pdf

Reference23 articles.

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2. Kamenev Type Theorems for Second Order Matrix Differential Systems

3. A note on Kamenev type theorems for second order matrix differential systems

4. Weighted means and oscillation conditions for second order matrix differential equations

5. Riccati techniques and variational principles in oscillation theory for linear systems

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