Şahıner, Y. Oscillation of second-order delay differential equations on time scales. (English) Zbl 1224.34294 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1073-e1080 (2005). Summary: By means of the Riccati transformation technique, we establish some new oscillation criteria for a second-order delay differential equation on time scales in terms of the coefficients. Cited in 58 Documents MSC: 34N05 Dynamic equations on time scales or measure chains 34K11 Oscillation theory of functional-differential equations Keywords:oscillation; second order; delay differential equations; time scale PDF BibTeX XML Cite \textit{Y. Şahıner}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1073--e1080 (2005; Zbl 1224.34294) Full Text: DOI OpenURL References: [1] Agarwal, R.P.; Bohner, M.; O’Regan, D.; Peterson, A., Dynamic equations on time scalesa survey (special issue on dynamic equations on time scales, ed. by R.P. agarwal, M. bohner, D. O’regan), J. comput. appl. math., 141, 1-2, 1-26, (2002) [2] Bohner, M.; Došlý, O.; Kratz, W., An oscillation theorem for discrete eigenvalue problems, Rocky mountain J. math., 33, 4, 1233-1260, (2003) · Zbl 1060.39003 [3] Bohner, M.; Guseinov, G.Sh., Improper integrals on time scales, Dyn. syst. appl., 12, 45-65, (2003) · Zbl 1058.39011 [4] Bohner, M.; Peterson, E., Dynamic equations on time scalesan introduction with applications, (2001), Birkhäuser Boston [5] Bohner, M.; Saker, S.H., Oscillation of second order nonlinear dynamic equations on time scales, Rocky mountain J. math., 34, 4, 1239-1254, (2004) · Zbl 1075.34028 [6] Erbe, L., Oscillation criteria for second order linear equations on a time scale, Can. appl. math. Q., 9, 1-31, (2001) · Zbl 1050.39024 [7] Erbe, L.; Peterson, A.; Saker, S.H., Oscillation criteria for second-order nonlinear dynamic equations on time scales, J. London math. soc., 67, 3, 701-714, (2003) · Zbl 1050.34042 [8] Guseinov, G.Sh.; Kaymakçalan, B., On a disconjugacy criterion for second order dynamic equations on time scale (special issue on dynamic equations on time scales, ed. by R.P. agarwal, M. bohner, D. O’regan), J. comput. appl. math., 141, 187-196, (2002) · Zbl 1014.34023 [9] S. Hilger, Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. Thesis, Universität Würzburg, 1988. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.