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Oscillations of Difference Equations with Several Terms

Ozkan Ocalan
경북대학교 자연과학대학 수학과|2006.12|Kyungpook Mathematical Journal|제46권 제4호|pp. 573-580

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참고문헌

주제분류수학

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Abstract

In this paper, we obtain su±cient conditions for the oscillation of every solution of the dierence equation xn+1 ¡ xn + i=1 pixn¡ki + qxn¡z = 0; n = 0; 1; 2; ¢ ¢ ¢ ; where pi 2 R, ki 2 Z for i = 1; 2; ¢ ¢ ¢ ;m and z 2 f¡1; 0g: Furthermore, we obtain su±cient conditions for the oscillation of all solutions of the equation ¢rxn + i=1 pixn¡ki = 0 ; n = 0; 1; 2; ¢ ¢ ¢ ; where pi 2 R, ki 2 Z for i = 1; 2; ¢ ¢ ¢ ; m: The results are given terms of the pi and the ki for each i = 1; 2; ¢ ¢ ¢ ; m:

참고문헌 (8)

  1. "Dierence equations and inequalities" (1992)
  2. "Oscillation theory for dierence andfunctional dierential equations" (2000), Kluwer Academic Publishers
  3. "Oscillations of a class of delay equations withcontinuous and piecewise constant arguments", pp.395~406 (1989)
  4. "Oscillation theory of delay dierential equations with appli-cations" (1991), Clarendon Press
  5. "Comparison results and linearized oscillations for higher orderdierence quations", pp.129~142 (1992)
  6. "Oscillations of a equations with piecewise constant mixed arguments International Conference on Di？？erential Equations and Population Biology" (1988), Ohio University
  7. "Explicit conditions for the oscillation of di？？erence equations", pp.276~287 (1990)
  8. "Necessary and su±cient conditions for theoscillation of di？？erence equation", pp.121~125 (1989)

관련 논문AI추천

Oscillation of second order nonlinear delay difference equationsS. H. Saker대한수학회 · 대한수학회보2003 · 제40권 제3호OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMSAijun Yang, Congna Di, Zhenguo Zhang한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호Oscillation Criteria of Second-order Half-linear Delay Difference EquationsS. H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Oscillation criteria for second-Order nonlinear differenceequations with ``summation small'' coefficientKang Guolian대한수학회 · 대한수학회보2005 · 제42권 제2호Oscillation criteria for difference equations with several oscillating coefficientsGeorge E. Chatzarakis, Ioannis P. Stavroulakis, Martin Bohner대한수학회 · 대한수학회보2015 · 제52권 제1호OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONSWITH CONTINUOUS ARGUMENTSCaishunZhang, YuTian, ZhenguoZhang한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제1호

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