Asymptotic behavior of oscillatory solutions of first order functional delay difference equations

  • Authors

    • A. Murugesan DEPARTMENT OF MATHEMATICS,GOVERNMENT ARTS COLLEGE (AUTONOMOUS), SALEM - 636 007, TAMIL NADU, INDIA.
    • C. Soundara Rajan DEPARTMENT OF MATHEMATICS, GOVERNMENT ARTS COLLEGE (AUTONOMOUS), SALEM-636007, TAMIL NADU, INDIA.
    2015-03-08
    https://doi.org/10.14419/ijamr.v4i2.4234
  • Asymptotic behavior, Delay difference equation, Oscillatory solution.

  • Abstract

    In this paper, we study the asymptotic behavior of oscillatory solutions of the first order functional delay difference equation

    \begin{equation*} \quad \quad \quad \quad \quad \quad\quad \quad \quad \Delta x(n)=f(n, x(n-\tau)),\quad n\geq n_0. \quad \quad \quad \quad \quad \quad \quad \quad \quad\quad \quad \quad \quad \quad \quad\quad \quad \quad\quad \quad (*)\end{equation*}

    A new sufficient condition is established under which every oscillatory solution of (*) tends to zero asymptotically.

    Author Biography

    • A. Murugesan, DEPARTMENT OF MATHEMATICS,GOVERNMENT ARTS COLLEGE (AUTONOMOUS), SALEM - 636 007, TAMIL NADU, INDIA.
      ASSISTANT PROFESSOR, DEPARTMENT OF MATHEMATICS

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  • How to Cite

    Murugesan, A., & Soundara Rajan, C. (2015). Asymptotic behavior of oscillatory solutions of first order functional delay difference equations. International Journal of Applied Mathematical Research, 4(2), 234-244. https://doi.org/10.14419/ijamr.v4i2.4234

    Received date: 2015-01-29

    Accepted date: 2015-02-23

    Published date: 2015-03-08