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On the oscillation of third order nonlinear difference equations

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Abstract

Some new criteria for the oscillation of third order nonlinear difference equations

$$\begin{array}{l}\Delta^{2}\bigl(\frac{1}{a(k)}(\Delta x(k))^{\alpha}\bigr)+q(k)f(x[g(k)])=0\quad\mbox{and}\\[6pt]\Delta^{2}\bigl(\frac{1}{a(k)}(\Delta x(k))^{\alpha}\bigr)=q(k)f(x[g(k)])+p(k)h(x[\sigma(k)])\end{array}$$

are established.

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Authors and Affiliations

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

    Ravi P. Agarwal

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

    Said R. Grace

  3. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore

    Patricia J. Y. Wong

Authors
  1. Ravi P. Agarwal
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  2. Said R. Grace
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  3. Patricia J. Y. Wong
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Correspondence to Ravi P. Agarwal.

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Agarwal, R.P., Grace, S.R. & Wong, P.J.Y. On the oscillation of third order nonlinear difference equations. J. Appl. Math. Comput. 32, 189–203 (2010). https://doi.org/10.1007/s12190-009-0243-8

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  • DOI: https://doi.org/10.1007/s12190-009-0243-8

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