Kamenev-type oscillation criteria for second order matrix di erential systems with damping

Abstract

By using the positive linear functional, including the generalized averaging technique, some new Kamenev-type oscillation criteria are established for the second order matrix dierential system (r(t)P(t)ψ(X(t))K(X0(t)))0 + p(t)R(t)ψ(X(t))K(X0(t)) +Q(t)F(X0(t))G(X(t)) = 0. The results improve and generalize those given in some previous papers.This paper is dedicated to the memory of Professor Aydn Tiryaki (June 1956-May 2016).