期刊文献+

二阶泛函差分方程的振动性判别准则 被引量:5

Oscillation Criteria for Second-Order Functional Difference Equations
原文传递
导出
摘要 利用Raccati变换技巧得到下列二阶非线性中立差分方程△(pn(△(sn+φ(n, Xτn))γ))+qnfβ(x9n)=0,n=0,1,2,...的一些振动性判别准则,这些结果改进了文献 [10,11]中的一些振动准则,并回答了一个公开问题,且改正了文献[10]中的一个定理及其证明. Some oscillation criteria are established by using Raccati transtormation techniques for the following second order nonliner neutral difference equation △(pn(△(xn+φ(n,xτn))^γ))+qnf^β(xgn)=0,n=0,1,2…, which extend some oscillation criteria and answer an open problem in [10, 11], and also correct a theorem and its proof in [10].
作者 程金发
机构地区 厦门大学数学系
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2006年第2期317-326,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10271043)
关键词 振动性 Raccati变换 差分方程 oscillation Raccati technique difference equations
  • 相关文献

参考文献12

  • 1Agarwal R.P.,Difference equations and inequalities,Theory,Methods and Applications,Second Edition,Revised and Expand,New York:Marcel Dekker,2000.
  • 2Agarwal R.P.,Wong P.J.Y.,Advance topics in differences,Klwer Academai Publishers,1997.
  • 3Hardy G.H.,Litterwood J.E.and Polya G.,Inequalities,Cambridge:2nd Ed.Univ.Press 1952.
  • 4Kamenev I.V.,An integral criterion for oscillation of nonlinear difference equations and Riccati equations,Math.Zemetki,1978,249-151 (in Russian).
  • 5Chen S.,Erbe L.H.,Riccati techniques and discrete oscillations,J.Math.Anal.Appl.,1989,142:468-487.
  • 6Chen S.Z.,Erbe L.,Oscillation results for second-order scalar and matrix difference equations,Comp.Math.Appl.,1994,28(1/3):55-70.
  • 7Kong Q.,Interval criterial for oscillation of second order linear ordininary differential equations,J.Math.Anal.Appl.,1999,229:258-270.
  • 8Szafranski Z.,Szmanda B.,Oscillation theorems for some nonlinear difference equations,Appl.Math.Comp.,1997,83:43-52.
  • 9Zhang Z.,Chen J.and Zhang C.,Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term,Comp.Math.Appl.,2001,41:1487-1494.
  • 10Kubiaczyk I.,Saker S.H.and Morchalo J.,Kamenev-type oscillation criteria for sublinear delay difference equations,Indian J.Pure Appl.Math.,2003,34(8):1273-1284.

同被引文献27

引证文献5

二级引证文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部