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Asymptotic Behavior of Solutions of a Class of Second Order Quasilinear Difference Equations

E. Thandapani|S. Pandian|R. K. Balasubramanian
경북대학교 자연과학대학 수학과|2004.06|Kyungpook Mathematical Journal|제44권 제2호|pp. 173-185

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주제분류수학

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Abstract

In this paper, we study asymptotic behavior of solutions of a class of second order quasilinear difference equations. All proper solutions are classfied into four types by means of their asymptotic behavior. Necessary and / or suffcient conditions are given for such equations to have solutions of each of the four types.

참고문헌 (8)

  1. "Difference Equations and Inequalities" (2000), Marcel Dekker
  2. "An Introduction of the Theory of Infinite series" (1926), MacMillan
  3. "An existence theorem for a nonlinear difference equation", 20, pp.193~203 (1993)
  4. "On the asymptotic behavior of the solutions of differenceequations of second order", 22, pp.135~142 (1980)
  5. "Oscillatory properties of solutions of some differencesystems", 6, pp.205~214 (1990)
  6. "Asymptotic behaviour of solutions of two dimensionaldifference systems", 95, pp.47~54 (2003)
  7. "Monotonicity and summability of solutionsof a second order nonlinear difference equations", 23, pp.345~356 (1995)
  8. "Asymptotic behavior of solutions of Emden-Fowler difference equationswith oscillating coefficients", pp.135~153 (1993)

관련 논문AI추천

Asymptotic Results for a Class of Fourth Order Quasilinear Difference EquationsEthiraju Thandapani, Rajamannar Dhanasekaran, Subbiah Pandian경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Oscillation of second order nonlinear delay difference equationsS. H. Saker대한수학회 · 대한수학회보2003 · 제40권 제3호Oscillation Criteria of Second-order Half-linear Delay Difference EquationsS. H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Asymptotic behavior of nonlinear Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2007 · 제44권 제1호Global asymptotic stability of a higher order difference equationAlaa E. Hamza, R. Khalaf-Allah대한수학회 · 대한수학회보2007 · 제44권 제3호Asymptotic Behaviors for Linear Difference Systems임동만, Yoon Hoe Goo한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호

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