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Oscillation Criteria for Four-Dimensional Time-Scale Systems

  • Elvan Akın
  • Gülşah Yeni
Article
  • 30 Downloads

Abstract

In this paper, we obtain oscillation and nonoscillation criteria for solutions to four-dimensional systems of first-order dynamic equations on time scales. Especially, we are interested in the conditions which insure that every solution is oscillatory in the sub-linear, half-linear, and super-linear cases. Our approach is based on the sign of the components of nonoscillatory solutions. Several examples are included to highlight our main results.

Keywords

Time scales oscillation nonoscillation four-dimensional systems 

Mathematics Subject Classification

34N05 39A10 39A13 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsMissouri University of Science and TechnologyRollaUSA

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