Oscillation results for second order matrix differential equations with damping

Author:

Başcı Yasemin1,Tiryaki Aydın2

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Abant Izzet Baysal University, Golkoy, Bolu, Turkey

2. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Izmir University, Uckuyular-Izmir, Turkey

Abstract

By using the positive linear functional, including the general means and Riccati technique, some new oscillation criteria are established for the second order matrix differential equations (r(t)P(t)?(X(t))K(X'(t)))' + p(t)R(t)?(X(t))K(X'(t)) + Q(t)F(X'(t))G(X(t)) = 0,t ? t0 > 0. The results improve and generalize those given in some previous papers.

Publisher

National Library of Serbia

Subject

General Mathematics

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