SUCCESSIVELY ITERATIVE TECHNIQUE OF SIGN-CHANGING SOLUTION TO A NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM

SUCCESSIVELY ITERATIVE TECHNIQUE OF SIGN-CHANGING SOLUTION TO A NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM

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摘要 The iterative technique of sign-changing solution is studied for a nonlinear third-order two-point boundary value problem, where the nonlinear term has the time sin-gularity. By applying the monotonically iterative technique, an existence theorem is established and two useful iterative schemes are obtained. The iterative technique of sign-changing solution is studied for a nonlinear third-order two-point boundary value problem, where the nonlinear term has the time sin-gularity. By applying the monotonically iterative technique, an existence theorem is established and two useful iterative schemes are obtained.

作者 Qingliu Yao (Dept. of Applied Math., Nanjing University of Finance and Economics, Nanjing 210003)

出处《Annals of Differential Equations》 2012年第2期242-246,共5页 微分方程年刊（英文版）

基金 Supported by the National Natural Science Foundation of China (11071109)

关键词 nonlinear ordinary differential equation successively iterative techni-que sign-changing solution nonlinear ordinary differential equation successively iterative techni-que sign-changing solution

分类号 O175.8 [理学—基础数学]

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参考文献10

1B.Hopkins,N.Kosmatov.Third-order boundary value problems with sign-changing solu-tions[].Nonlinear Analysis Theory Methods Applications.2007
2Yao Q L.Positive solutions for eigenvalue problems of fourth-order elastic beam equations[].Applied Mathematics Letters.2004
3Q. Yao.Successive iteration and positive solution for a discontinuous third-order boundary value problem[].Computers and Mathematics With Applications.2007
4S. H. Li.Positive solutions of nonlinear singular third-order two-point boundary value problem[].Journal of Mathematical Analysis and Applications.2006
5Y. Feng,S. Liu.Solvability of a third-order two-point nonlinear boundary value problem[].Applied Mathematics Letters.2005
6Liu.Z,Ume.J,Kang.S.Positive solutions of a singular nonlinear third-order two-point boundary value problem[].Journal of Mathematical Analysis and Applications.2007
7D. MA,,Z. DU,,W. GE.Existence and iteration of monotone positive solutions for multipoint boundary value Problem with P-Laplacian oPerator[].Computers and Mathematics With Applications.2005
8Sun Bo,GeWeigao.Existence and interation of positive solutions for some p-Laplacian boundary value probems[].Nonlinear Analysis.2007
9A. Cabada,S. Lois.Existence of solution for discontinuous third order boundary value problems[].Journal of Computational and Applied Mathematics.1999
10M. Gregus.Third Order Linear Differential Equations[].Mathematica Applicata.1987

1LI Chun-yan SU Ya-juan.Existence of Sign-changing Solution for Three-point Boundary Value Problems[J].Chinese Quarterly Journal of Mathematics,2012,27(3):458-466. 被引量：4
2SUN Yong-ping.Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(4):413-419. 被引量：5
3Shipeng Wang,Shude Liu (Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui).EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2009,25(3):348-355.
4兰坤泉,丁协平.MINIMAL AND MAXIMAL FIXED POINT THEOREMS AND ITERATIVE TECHNIQUE FOR NONLINEAR OPERATORS IN PRODUCT SPACES[J].Applied Mathematics and Mechanics(English Edition),1992,13(3):227-231.
5Li Chunyan,Liu Bing.EXISTENCE OF SIGN-CHANGING SOLUTION FOR THREE-POINT BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2007,23(2):149-158.
6廖庆洪,方光宇,王月媛,M.A.Ahmad,刘树田.Entanglement dynamics of two atoms successively passing a cavity[J].Chinese Optics Letters,2010,8(12):1191-1194.
7GU Feng.Iterative Schemes for a Family of Finite Asymptotically Pseudocontractive Mappings in Banach Spaces[J].Journal of Mathematical Research and Exposition,2009,29(5):864-870. 被引量：1
8张克梅,孙经先.THE RELATION BETWEEN SIGN-CHANGING SOLUTION AND POSITIVE-NEGATIVE SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS[J].Acta Mathematica Scientia,2004,24(3):463-468. 被引量：1
9Wu Shaoping Sun Yijing Dept. of Math., Zhejiang Univ., Hangzhou 310027. Nankai Institute of Math., Nankai Univ., Tianjin 300071..A SIGN CHANGING SOLUTION FOR ELLIPTIC EQUATION WITH SUBLINEAR TERM AT ORIGIN[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(1):11-18.
10Zhong Li.EXTINCTION IN AUTONOMOUS REACTION-DIFFUSION LOTKA-VOLTERRA SYSTEMS WITH NONLOCAL DELAYS[J].Annals of Differential Equations,2015,31(2):182-189.

Annals of Differential Equations

2012年第2期

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SUCCESSIVELY ITERATIVE TECHNIQUE OF SIGN-CHANGING SOLUTION TO A NONLINEAR THIRD-ORDER BOUNDARY VALUE PROBLEM

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