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Oscillation theorems for second order matrix differential systems

✍ Scribed by Qi-Ru Wang

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
167 KB
Volume
266
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

By employing the generalized Riccati technique and the integral averaging technique, new oscillation criteria are established for a class of second order matrix differential systems. These criteria extend, improve and unify a number of existing results and handle a number of cases not covered by known criteria. In particular, several interesting examples that illustrate the importance of our results are included. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

On Kamenev-Type Oscillation Theorems for
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✍ James S.W. Wong πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 116 KB

Oscillation criteria for the nonlinear second-order ordinary differential equation with damping x + p t x + f x = 0 are given. The results are extensions of integral averaging technique of Kamenev and include earlier results of Yeh, Yan, and Chen.

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In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ε½ . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are