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Oscillation Criteria for Some New Generalized Emden-Fowler Dynamic Equations on Time Scales

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  • Haidong Liu
  • Puchen Liu

Abstract

By means of novel analytical techniques, we have established several new oscillation criteria for the generalized Emden-Fowler dynamic equation on a time scale , that is, , with respect to the case and the case , where , is a constant, , is a constant satisfying , and , , and are real valued right-dense continuous nonnegative functions defined on . Noting the parameter value probably unequal to , our equation factually includes the existing models as special cases; our results are more general and have wider adaptive range than others' work in the literature.

Suggested Citation

  • Haidong Liu & Puchen Liu, 2013. "Oscillation Criteria for Some New Generalized Emden-Fowler Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-16, March.
    • Handle: RePEc:hin:jnlaaa:962590
    DOI: 10.1155/2013/962590
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