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OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMS

Aijun Yang|Zhenguo Zhang|Congna Di
한국수학교육학회|2007.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제2호|pp. 49-62

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주제분류수학

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Abstract

In this paper, the oscilation and existence of nonoscilatory solutions of odd order difference equations with nonlinear neutral terms are studied respec-tively. Some new criteria are established. Furthermore, some examples are given to illustrate the advance of our results.

참고문헌 (15)

  1. "Advanced topics in dierence quations"
  2. "Oscilations of higher-order neutraldierence quations"
  3. "The oscilation of higher-order nonlinear dierenceequations of neutral type"
  4. "Oscilatory theory for functional dierentialequation"
  5. "Oscilation theory for dierence and func-tional dierential equations"
  6. "Asymptotic trichotomy for positive solutions of a clas of odorder nonlinear neutral dierence quations", pp.101~108
  7. "Existence of nonoscilatory solutions of higher-order neutral dierenceequations with general coecients"
  8. "Oscilation in higher order nonlinear dierence quation"
  9. "Existence for nonoscilatory solutions of higher-order non-linear neutral dierence quations"
  10. "Existence of nonoscilatory solutions of higher-Order neutraldelay dierence quations with variable coecients", pp.91~10
  11. "Oscilation of a clas of nonlinear neutral dierence qua-tions of higher order", pp.756~74
  12. "Oscilatory behavior of a higher-order nonlinear neutral typefunctional dierence quation with oscilating coecients", pp.1073~1078
  13. "Oscilation of solutions for second-ordernonlinear dierence quations with nonlinear neutral term", pp.1487~1494
  14. "Oscilation of solutions for even order dierenceequations with nonlinear neutral term", pp.1585~
  15. "Oscilation of solutions for even order dierenceequations with nonlinear neutral term", pp.1585~

관련 논문AI추천

Existence of nonoscillatory solutions of higher-order difference equations with positive and negative coefficientsHaiyan Liang, Qiaoluan Li, Wenlei Dong, Zhenguo Zhang대한수학회 · 대한수학회보2008 · 제45권 제1호Oscillations of Difference Equations with Several TermsOzkan Ocalan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Oscillation of second order nonlinear delay difference equationsS. H. Saker대한수학회 · 대한수학회보2003 · 제40권 제3호OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONSWITH CONTINUOUS ARGUMENTSCaishunZhang, YuTian, ZhenguoZhang한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제1호Oscillation Criteria of Second-order Half-linear Delay Difference EquationsS. H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative CoefficientsElmetwally M. Elabbasy, Samir H. Saker, Taher S. Hassan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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