Kamenev-type criteria for nonlinear second-order delay dynamic equations
Abstract
We study oscillation of certain second-order nonlinear delay dynamic equations on arbitrary time scales. Employing a class of kernel functions,
new Kamenev-type oscillation criteria are presented that differ from the known ones. These criteria improve some related results for second-order differential equations.
Keywords
References
- Agarwal, R. P., Bohner, M., and Li, T. Oscillatory behavior of second-order half-linear damped dynamic equations, Appl. Math. Comput. 254, 408–418, 2015.
- Agarwal, R. P., Bohner, M., Li, T., and Zhang, C. Oscillation criteria for second-order dynamic equations on time scales, Appl. Math. Lett. 31, 34–40, 2014.
- Agarwal, R. P., Bohner, M., O’Regan, D., and Peterson, A. Dynamic equations on time scales: a survey, J. Comput. Appl. Math. 141, 1–26, 2002.
- Agarwal, R. P., Bohner, M., and Saker, S. H. Oscillation of second order delay dynamic equations, Can. Appl. Math. Q. 13, 1–17, 2005.
- Agarwal, R. P., Grace, S. R., and O’Regan, D. Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations (Kluwer Academic Publishers, Dordrecht, 2002).
- Bohner, M., Hassan, T. S., and Li, T. Fite–Hille–Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments, Indag. Math. (N.S.) 29, 548–560, 2018.
- Bohner, M. and Li, T. Oscillation of second-order p-Laplace dynamic equations with a nonpositive neutral coefficient, Appl. Math. Lett. 37, 72–76, 2014.
- Bohner, M. and Li, T. Kamenev-type criteria for nonlinear damped dynamic equations, Sci. China Math. 58, 1445–1452, 2015.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 1, 2018
Submission Date
July 10, 2016
Acceptance Date
February 8, 2017
Published in Issue
Year 2018 Volume: 47 Number: 2