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

Authors : Yasemin BAŞCI

Pages : 1248-1267

View : 23 | Download : 8

Publication Date : 2018-10-16

Article Type : Research Paper

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 system, Oscillation, Averaging technique, Generalized averaging technique, Kamenev type oscillation