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

#### Yasemin Başcı [1]

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.

Matrix differential system, Oscillation, Averaging technique, Generalized averaging technique, Kamenev-type oscillation
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Primary Language en Mathematics Mathematics Author: Yasemin Başcı (Primary Author) Publication Date : October 16, 2018
 Bibtex @research article { hujms472691, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2018}, volume = {47}, pages = {1248 - 1267}, doi = {}, title = {Kamenev-type oscillation criteria for second order matrix differential systems with damping}, key = {cite}, author = {Başcı, Yasemin} } APA Başcı, Y . (2018). Kamenev-type oscillation criteria for second order matrix differential systems with damping. Hacettepe Journal of Mathematics and Statistics , 47 (5) , 1248-1267 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/39860/472691 MLA Başcı, Y . "Kamenev-type oscillation criteria for second order matrix differential systems with damping". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1248-1267 Chicago Başcı, Y . "Kamenev-type oscillation criteria for second order matrix differential systems with damping". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1248-1267 RIS TY - JOUR T1 - Kamenev-type oscillation criteria for second order matrix differential systems with damping AU - Yasemin Başcı Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1248 EP - 1267 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Kamenev-type oscillation criteria for second order matrix differential systems with damping %A Yasemin Başcı %T Kamenev-type oscillation criteria for second order matrix differential systems with damping %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Başcı, Yasemin . "Kamenev-type oscillation criteria for second order matrix differential systems with damping". Hacettepe Journal of Mathematics and Statistics 47 / 5 (October 2018): 1248-1267 . AMA Başcı Y . Kamenev-type oscillation criteria for second order matrix differential systems with damping. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1248-1267. Vancouver Başcı Y . Kamenev-type oscillation criteria for second order matrix differential systems with damping. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1267-1248.