OSCILLATION CRITERIA OF SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS

  • Zhang, Zhenguo (Nankai University) ;
  • Lv, Xiaojing (College of Mathematics and Information of Science, Hebei Normal University) ;
  • Yu, Tian (College of Mathematics and Information of Science, Hebei Normal University)
  • Published : 2003.09.01

Abstract

Some Riccati type difference inequalities are established for the second-order nonlinear difference equations with negative neutral term $\Delta$(a(n)$\Delta$(x(n) - px(n-$\tau$))) + f(n, x($\sigma$(n))) = 0 using these inequalities we obtain some oscillation criteria for the above equation.

Keywords

References

  1. Computers Math. Applic. v.28 no.1-3 Oscillation results for second-order scalar and matrix difference equation S.Z.Chen;L.Erbe
  2. Math. comput. Modelling v.21 no.3 Oscillation theorems and existence of positive monotone solutions for second-order nonlinear difference equations P.J.Y.Wong;R.P.Agarwal
  3. Appl. Math. comput. v.83 Oscillation theorems for some nonlinear difference equations Z.Szafranski;B.Szmanda
  4. Computers Math. Applic. v.36 no.6 Oscillation theorems for second-order advanced functional difference equations Z.G.Zhang;Q.L.Li
  5. Computers Math. Applic. v.38 no.1 Oscillation criteria for second-order functional difference equations with summation small coefficient Z.G.Zhang;J.L.Zhang
  6. Journal of Mathematical Research and Exposition v.19 no.4 Oscillation of solutions for a class second nonlinear difference equations Z.G.Zhang;Y.H.Yu
  7. Computers Math. Applic. v.41 Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term Z.G.Zhang;J.F.Chen;C.S.Zhang
  8. Indian J. Pure. Appl. Math. v.26 no.19 On the asymptotic and oscillatory behavior of second-order nonlinear neutral difference equations E.Thandapani;P.Sanadarani
  9. Indian J. Pure. Appl. Math. v.28 no.12 Oscillation properties of second-order nonlinear neutral delay difference equations E.Thandapani;R.Arul
  10. Appl. Math. Lett. v.10 no.2 Oscillatory and nonoscillatory behavior of second-order neutral delay difference equations, Ⅱ R.P.Agarwal;M.M.S.Manuel;E.Thandapani