- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 5
- Kamenev-type oscillation criteria for second order matrix differential systems with damping
Kamenev-type oscillation criteria for second order matrix differential systems with damping
Authors : Yasemin Başci
Pages : 1248-1267
View : 11 | Download : 5
Publication Date : 2018-10-16
Article Type : Research
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