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一类二阶多点边值问题解的存在唯一性

Existence and uniqueness of solution for a second-order multipoint boundary valve problem
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摘要 研究了一类二阶隐式微分方程多点边值问题解的存在唯一性,利用压缩映像原理获得到了解的存在性结果。 In this paper the author discussed the existence and uniqueness of solution to multipoint boundary value problem of second order implicit ordinary differential equations, employed contraction mapping principle to obtain existence result.
出处 《齐齐哈尔大学学报(自然科学版)》 2014年第1期92-94,共3页 Journal of Qiqihar University(Natural Science Edition)
基金 陇南师范高等专科学校科研项目(2012LSZK02006)
关键词 隐式常微分方程 压缩映像原理 存在唯一性 implicit ordinary differential equations contraction mapping principle existence and uniqueness
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参考文献6

  • 1Agarwal. R. P. Two-point problems for non-linear second order differential equations[J].Math Phys Sci,1974,(211):571-576.
  • 2Das,K.M,Lalli,B. S. Boundary value problems for y″=f(x, y, y′,y″)[J].Math Analysis Applic,1981,(43):300-307.
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  • 5姚晓斌.二阶隐式微分方程四点积分边值问题解的存在唯一性[J].长春师范学院学报(自然科学版),2013,32(2):6-7. 被引量:1
  • 6姚晓斌.一类二阶两点边值问题解的存在唯一性[J].湖南工程学院学报(自然科学版),2013,23(1):65-66. 被引量:1

二级参考文献10

  • 1Agarwal, R. P.. Two-point Problems for Non-linear Second Order Differential Equat ions[J2. J. Mat h. Phys. Sci. 1974. 8: 571-576.
  • 2Das, K. M.. and Lalli, B. S.. Boundary Value Prob- lems for y"= f ( x , y , y' ,y"). J. Math[J].Analysis Applic. 1981, 81 : 300-307.
  • 3Agarwal, R. P.. On Boundary Value Problems for y f ( x , y , y~ ,y")Bulletin of the Institute of Mathemat- ics, Academia[J~, Sinica. 1984,12(2) : 153 - 157.
  • 4Bax ley, J. V.. and Brown,S. E.. Existence and U- niqueness for Ttwo-point Boundary Value Problems [J]. Proceedings of the Roy al Society of Edinburgh. 1981, 88A: 219-234.
  • 5D. Guo, J. Sun, Nonlinear Integral Equations[M]. Shandong Science and Echnology Press Jinan, 1987.
  • 6Agarwal, R.P.Two-po int problems fo r non-linear second order differential equat ions[J].J.Math.Phys.Sci. 1974(8):571-576.
  • 7Das,K.M .and Lalli,B.S.Boundary value problems for y" =f( x,y,y' ,y" )[J].J.Math.Analysis Applie.1981,81: 300-307.
  • 8Agarwal, R.P.On boundary value problems for y" =f(x,y,y' ,y" )Bulletin of the institute of mathematics[J].Academia,sinica, 1984,12 (2):153-157.
  • 9Bax ley,l.V.and Brown,S.E.Existence and uniqueness for two-point boundary value problems[J].Proceedings of the Roy al Society of Edinburgh,1981,88A:219-234.
  • 10D.Guo,J.Sun.Nonlinear Integral Equations[M].Jinan:Shandong Science and Echnology Press, 1987(in Chinese).

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