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Oscillation theorems for second order nonlinear dynamic equations

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Abstract

Some new criteria for the oscillation of nonlinear dynamic equations of the form

$$\bigl(a(t)(x^{\Delta}(t))^{\alpha}\bigr)^{\Delta}+f(t,x^{\sigma}(t))=0$$

on a time scale \(\mathbb{T}\) are established.

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Authors and Affiliations

  1. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, 12221, Egypt

    Said R. Grace

  2. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    Ravi P. Agarwal

  3. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USA

    Billûr Kaymakçalan

  4. Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, 10400, Thailand

    Wichuta Sae-jie

Authors
  1. Said R. Grace
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  2. Ravi P. Agarwal
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  3. Billûr Kaymakçalan
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  4. Wichuta Sae-jie
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Correspondence to Ravi P. Agarwal.

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Grace, S.R., Agarwal, R.P., Kaymakçalan, B. et al. Oscillation theorems for second order nonlinear dynamic equations. J. Appl. Math. Comput. 32, 205–218 (2010). https://doi.org/10.1007/s12190-009-0244-7

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  • DOI: https://doi.org/10.1007/s12190-009-0244-7

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