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Oscillation for Higher Order Dynamic Equations on Time Scales

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  • Taixiang Sun
  • Qiuli He
  • Hongjian Xi
  • Weiyong Yu

Abstract

We investigate the oscillation of the following higher order dynamic equation: , on some time scale , where ,    and are positive rd-continuous functions on and are the quotient of odd positive integers. We give sufficient conditions under which every solution of this equation is either oscillatory or tends to zero.

Suggested Citation

  • Taixiang Sun & Qiuli He & Hongjian Xi & Weiyong Yu, 2013. "Oscillation for Higher Order Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, October.
    • Handle: RePEc:hin:jnlaaa:268721
    DOI: 10.1155/2013/268721
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