Opuscula Math. 36, no. 5 (2016), 651-669
http://dx.doi.org/10.7494/OpMath.2016.36.5.651

 
Opuscula Mathematica

On nonoscillatory solutions of two dimensional nonlinear delay dynamical systems

Özkan Öztürk
Elvan Akın

Abstract. We study the classification schemes for nonoscillatory solutions of a class of nonlinear two dimensional systems of first order delay dynamic equations on time scales. Necessary and sufficient conditions are also given in order to show the existence and nonexistence of such solutions and some of our results are new for the discrete case. Examples will be given to illustrate some of our results.

Keywords: time scales, oscillation, two-dimensional dynamical system.

Mathematics Subject Classification: 34C10, 34K11.

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  • Özkan Öztürk
  • Missouri University of Science and Technology, 400 Rolla Building, Missouri 65409-0020, USA
  • Elvan Akın
  • Missouri University of Science and Technology, 400 Rolla Building, Missouri 65409-0020, USA
  • Communicated by Josef Diblík.
  • Received: 2015-12-23.
  • Revised: 2016-03-09.
  • Accepted: 2016-03-15.
  • Published online: 2016-06-29.
Opuscula Mathematica - cover

Cite this article as:
Özkan Öztürk, Elvan Akın, On nonoscillatory solutions of two dimensional nonlinear delay dynamical systems, Opuscula Math. 36, no. 5 (2016), 651-669, http://dx.doi.org/10.7494/OpMath.2016.36.5.651

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