Kamenev-Type Criteria for Nonlinear Damped Dynamic Equations

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
TongXing Li

Abstract

We establish a new Kamenev-type theorem for a class of second-order nonlinear damped delay dynamic equations on a time scale by using the generalized Riccati transformation technique. The criterion obtained improves related contributions to the subject. An example is provided to illustrate assumptions in our theorem are less restrictive.

Recommended Citation

M. Bohner and T. Li, "Kamenev-Type Criteria for Nonlinear Damped Dynamic Equations," Science China Mathematics, vol. 58, no. 7, pp. 1445 - 1452, Science China Press, Jul 2015.

The definitive version is available at https://doi.org/10.1007/s11425-015-4974-8

Department(s)

Mathematics and Statistics

Comments

This work was supported by the Applied Mathematics Enhancement Program of Linyi University.

Keywords and Phrases

Nonlinear damped delay equation; Oscillation; Second-order dynamic equation; Time scale

International Standard Serial Number (ISSN)

1674-7283; 1869-1862

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Science China Press and Springer-Verlag Berlin Heidelberg, All rights reserved.

Publication Date

01 Jul 2015