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Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

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Abstract

We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder–Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.

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Authors and Affiliations

  1. Missouri University of Science Technology, 202 Rolla Building, Rolla, MO , 65409-0020, USA

    Elvan Akın & Özkan Öztürk

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  1. Elvan Akın
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  2. Özkan Öztürk
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Correspondence to Elvan Akın.

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Akın, E., Öztürk, Ö. Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems. Mediterr. J. Math. 14, 34 (2017). https://doi.org/10.1007/s00009-016-0836-z

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  • DOI: https://doi.org/10.1007/s00009-016-0836-z

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