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New boundedness results for solutions of second order non-autonomous delay differential equations

CEMIL TUNÇ1

Affiliation

  1. Department of Mathematics, Faculty of Sciences Yüzüncü Yıl University, 65080, Van - Turkey

Abstract

We study the boundedness of solutions of some second order non-autonomous delay differential equations by the Liapunov functional approach. We establish three new results which include sufficient conditions for the solutions of the equations considered to be bounded. By this work, we improve some boundedness results in the literature, which were obtained on certain second order ordinary differential equations without delay, to the boundedness of the solutions of some second order non-autonomous delay differential equations..

Keywords

Non-autonomous; delay differential equation; second order; boundedness..

Submitted at: Feb. 8, 2011
Accepted at: March 16, 2011

Citation

CEMIL TUNÇ, New boundedness results for solutions of second order non-autonomous delay differential equations, Journal of Optoelectronics and Advanced Materials Vol. 13, Iss. 3, pp. 302-307 (2011)