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非线性三阶方程三点边值问题解的存在性 被引量:2

EXISTENCE OF SOLUTIONS FOR THREE-POINT BOUNDARY PROBLEMS FOR THIRD ORDER DIFFERENTIAL EQUATIONS
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摘要 本文使用上下解方法,给出了具非线性边界条件的非线性三阶方程三点进值问题( ) y″=f(t,y,y′,y″) g(y(α),y′(α),y″(α))=0,y(b)=y_1,k(y(c),y′(c),y″(c)=0解存在的充分条件,据作者所知,这类边值问题,至今尚无人讨论过。 This paper presents condions for the existence of solutions solutions of three-point boundary value problems wich posses nonlinear boundary value conditions for nonlinear third equation: y'=f(t,y,y',y') g(y(a),y'(a),y'(a))=0,y (b)=y_1,k(y(c),y'(c),y'(c))=0 As far as I know, these bouudary value probiems have not been discussed up to now. The results of this paper coves a wider class of problems.
作者 史希福
机构地区 东北师大数学系
出处 《东北师大学报(自然科学版)》 CAS CSCD 1990年第4期1-7,共7页 Journal of Northeast Normal University(Natural Science Edition)
关键词 非线性 边界条件 三点边值问题 Nonlinear boundary value conditions, Three point boundary value problems.
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同被引文献11

  • 1尤秉礼.常微分方程补充教程[M].北京:人民教育出版社,1981.252.
  • 2Zeng-ji Du,Wei-gao Ge,Ming-ru Zhou.Singular perturbation for third order nonlinear multi-point boundary value problem[J].Differential Equations,2005,21 (8):68-90.
  • 3F A Howes.Differential inequalities of higher order and the asymtotic solution of nonlinear boundary value problem[J].SIAM.J.Math.Anal.,1982,13 (1):61-81.
  • 4Howes F A.The asymptotic solution of a class third order boundary value problem arrising in the theory thin film flows[J].SIAM.J.Appl.Math.,1983,43(5):993-1004.
  • 5Wang Jinzhi.Existence of solution of nonlinear two point boundary value problem for third order nonlinear differential equation[J].Northeastern Math.J.,1991,7(2):181-189.
  • 6Erbe L H.Existence of soution to nonlinear two-point boundary value problems for second-order differential equation[J].Nonlinear Anal.TMA,1982,6(11):1155-1162.
  • 7王国灿.某一类三阶非线性两点边值问题的解的存在性和唯一性[J].应用数学学报,1997,20(4):631-634. 被引量:16
  • 8葛渭高.三阶常微分方程的两点边值问题[J].高校应用数学学报(A辑),1997(3):265-272. 被引量:24
  • 9余赞平.三阶微分方程的非线性三点边值问题[J].福建师范大学学报(自然科学版),1998,14(3):9-12. 被引量:15
  • 10王国灿,金丽.三阶奇摄动非线性边值问题[J].应用数学和力学,2002,23(6):597-603. 被引量:21

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