BOUNDED OSCILLATION OF SECOND ORDER UNSTABLE NEUTRAL TYPE DIFFERENCE EQUATIONS

  • Thandapani, E. (Department of Mathematics, Periyar University) ;
  • Arul, R. (Department of Mathematics, Kandaswami Kandar's Colleg) ;
  • Raja, P.S. (Department of Mathematics Kandar's College)
  • Published : 2004.09.01

Abstract

In this paper the authors present sufficient conditions for all bounded solutions of the second order neutral difference equation ${\Delta}^2(y_n\;-\;py_{n-{\kappa}})\;-\;q_nf(y_{n-e})\;=\;0,\;n\;{\in}\;N$ to be oscillatory. Examples are provided to illustrate the results.

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