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一类三阶拟线性微分方程(Ⅰ)型非极端解的必要条件 被引量:1

Necessary Conditions of Type( Ⅰ) Non-extreme Solutions of a Class of Third-order Quasilinear Differential Equation
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摘要 研究了一类三阶拟线性微分方程的(Ⅰ)型非极端解,得到其两个必要条件.所得结果拓展了前人的结果. Two necessary conditions with type ( I ) non - extreme solution of the third - order quasilinear differential equation were obtained. The result complemented and extended previously known ones.
出处 《佳木斯大学学报(自然科学版)》 CAS 2013年第5期788-789,共2页 Journal of Jiamusi University:Natural Science Edition
基金 佳木斯大学科研项目(L2010-160)
关键词 拟线性微分方程 (Ⅰ)型非极端解 最终正解 quasilinear differential equation type ( I ) non- extreme solutions eventually positive solutions
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参考文献5

  • 1Wu F. Nonosci]latory Solutions of Fourth - Order Quasilinear Differential Equations[ J]. Funkcial. Ekvac ,2002 ,45 :71 -88.
  • 2Naito M, Wu F. On the Existence of Eventually Positive Solu- tions of Four - Order Quasilinear Differential Equations[ J]. Non- linear Analysis,2004,57:253 - 263.
  • 3Naito M, Wu F. A Note on the Existence and Asymptotic Behav- ior of Nonoscillatory Solutions of Fourth - Order Quasilinear Dif- ferential Equations[ J ]. Aeta Math. Hungar,2004,102 (3) : 177 - 202.
  • 4Manabu Naito. Existence and Asymptotic Behavior of Positive Solutions of Higer - Order Quasilinear Ordinary Differential E- quations[ J]. Math,Nachr,2006,279 : 198 -216.
  • 5汪金燕.The Asymptotic Behavior of Nonoocillatory Solutions of a Class of Third Order Quasilinear Differential Equation[ D].长春:东北师范大学,2006.

同被引文献5

  • 1Wu F. Nonoscillatory Solutions of fourth - order Quasilinear Dif- ferential Equations[ J]. Funkcial Ekvac,2002,45:71 - 88.
  • 2Naito M, Wu F. On the Existence of Eventually Positive Solutions of Four - order Quasilinear Differential Equations [ J ]. Non - lin- ear Analysis ,2004,57:253 - 263.
  • 3Naito M,Wu F. A Note on the Existence and Asymptotic Behav- ior of Nonoscillatory Solutions of Fourth - order Quasilinear Dif- ferential Equations[ J]. Aeta Math. Hungar,2004,102 ( 3 ) : 177 - 202.
  • 4Naito M. Existence and Asymptotic Behavior of Positive Solutions of Higer - order Quasflinear Ordinary Differential Equati - ns [ J ]. Math, Nachr,2006,279 : 198 - 216.
  • 5汪金燕. The Asymptotic Behavior of Nonoscillatory Solutions of a Class of Third Order Quasilinear Differential Equation [ D ]. 长春:东北师范大学,2006.

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