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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 2
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Original Articles

On the Recursive Sequence xn+1 = α + (βxn−1)/(1 + g(xn))

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Pages 145-156 | Published online: 09 Sep 2010

  • Amleh , A.M. , Grove , E.A. , Ladas , G. and Georgiou , D.A. 1999 . On the recursive sequence yn+1 =a + (yn-1)/yn J . Math. Anal. Appl , 233 : 790 – 798 .
  • El-Metwally , H. , Grove , E.A. and Ladas , G. 2000 . A global convergence result with applications to periodic solutions . J. Math. Anal. Appl , 245 : 161 – 170 .
  • Gibbons , C.H. , Kulenovic , M.R.S. and Ladas , G. 2000 . On the recursive sequence Xn+1 =(a+03B2xn-,)/(? + xn) . Math. Sci. Res. Hot-Line , 4 (2) : 1 – 11 .
  • Gibbons , C.H. , Kulenovic , M.R.S. , Ladas , G. and Voulov , H.D. 2002 . On the trichotomy character of xn+1 =(a + ßxn + ?xn-I)/(A + Xn) . J. Differ. Equations Appl. , 8 (1) : 75 – 92 .
  • Kocic , V.L. and Ladas , G. 1993 . Global Behaviour of Nonlinear Difference Equations of Higher Order with Applications , Dordrecht : Kluwer Academic Publishers .
  • Kulenovic , M.R.S. , Ladas , G. and Sizer , W. 1998 . On the recursive sequence JVH =(ayn + ßyn-1,)/(?yn, + Cyn-,) . Math. Sci. Res. Hot-Line , 2 (5) : 1 – 16 .
  • Stevic , S. 2000 . Behavior of the positive solutions of the generalized Beddington-Holt equation . Panamer. Math. J. , 10 (4) : 77 – 85 .
  • Stevic , S. 2001 . A generalization of the Copson's theorem concerning sequences which satisfy a linear inequality . Indian J. Math. , 43 (3) : 277 – 282 .
  • Stevic , S. 2001 . On the recursive sequence Xn+1 =A/xn-1 + A/xn-,1 . Int. J. Math. Sci , 27 (1) : 1 – 6 .
  • Stevic , S. 2002 . A global convergence results with applications to periodic solutions . Indian J. Pure Appl. Math. , 33 (1) : 45 – 53 .
  • Stevic , S. 2002 . Asymptotic behaviour of a sequence defined by iteration with applications . Colloq. Math. , 93 (2) : 267 – 276 .
  • Stevic , S. 2002 . On the recursive sequence Xn+1, =g(xn,xn-1,)/(A + xn) . Appl. Math. Lett. , 15 : 305 – 308 .
  • Stevic , S. 2002 . On the recursive sequence Xn+1, =xn-1,/g(xn) . Taiwanese J. Math. , 6 (3) : 405 – 414 .
  • Stevic , S. 2003 . On the recursive sequence Xn+1, =A/(pki=0xk-1) + 1/(p2(k+1)j=k+2Xn-f) . Taiwanese J. Math. , 7 (2) (to appear)

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