Asymptotic behavior of n-th order dynamic equations

نویسندگان

  • L. Erbe
  • G. Hovhannisyan
  • A. Peterson
چکیده

We are concerned with the asymptotic behavior of solutions of an nth order linear dynamic equation on a time scale in terms of Taylor monomials. In particular, we describe the asymptotic behavior of the so-called (first) principal solution in terms of the Taylor monomial of degree n−1. Several interesting properties of the Taylor monomials are established so that we can prove our main results.

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تاریخ انتشار 2011