Kamenev-type oscillation criteria for second order matrix differential 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 differential system \[ (r(t)P(t)\psi(X(t))K(X'(t)))'+p(t)R(t)\psi(X(t))K(X'(t))+Q(t)F(X'(t))G(X(t))=0. \]

The results improve and generalize those given in some previous papers.

Keywords

• Matrix differential system,Oscillation,Averaging technique,Generalized averaging technique,Kamenev-type oscillation

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