Journal article

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 \[ insert ignore into journalissuearticles values(rinsert ignore into journalissuearticles values(t);Pinsert ignore into journalissuearticles values(t);\psiinsert ignore into journalissuearticles values(Xinsert ignore into journalissuearticles values(t););Kinsert ignore into journalissuearticles values(X`insert ignore into journalissuearticles values(t);););`+pinsert ignore into journalissuearticles values(t);Rinsert ignore into journalissuearticles values(t);\psiinsert ignore into journalissuearticles values(Xinsert ignore into journalissuearticles values(t););Kinsert ignore into journalissuearticles values(X`insert ignore into journalissuearticles values(t););+Qinsert ignore into journalissuearticles values(t);Finsert ignore into journalissuearticles values(X`insert ignore into journalissuearticles values(t););Ginsert ignore into journalissuearticles values(Xinsert ignore into journalissuearticles values(t););=0. \] The results improve and generalize those given in some previous papers.

Keywords

Matrix differential systemOscillationAveraging techniqueGeneralized averaging techniqueKamenev type oscillation

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