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时标上m点边值问题的广义拟线性方法

The Generalized Quasilinearization Method of m-Points Boundary Value Problems on Time Scales
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摘要 利用广义拟线性方法研究了时标上非线性动力方程m点边值问题,给出了一种有效求解方法. The method of generalized quasilinearization is applied to the nonlinear dynamic equations with the m-point boundary conditions on time scales, and numerical procedure of solutions is provided .
作者 卢艳霞 史会峰
机构地区 华北电力大学数理系
出处 《数学的实践与认识》 CSCD 北大核心 2009年第11期173-177,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(70671039)
关键词 时标 广义拟线性方法 M点边值问题 上下解 收敛 time scales generalized quasilinearization method m-point boundary value problems lower and upper solutions convergence
分类号 O175.8 [理学—基础数学]
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  • 1Bohner, M., Peterson, A. Dynamic equations on time scales: An introduction with applications. Birkhauser,Boston, 2001
  • 2Bohner, M., Peterson, A. Advances in dynamic equations on time scales. Birkhauser, Boston, 2002
  • 3Guo, Y.P, Shan, W.R., Ge, W.G. Positive solutions for second-order m-point boundary value problems.Journal of Computational and Applied Mathematics, 151:415-424 (2003)
  • 4He, Z.M. Existence of two solutions of m-point boundary value problem for second order dynamic equations on time scales. J. Math. Anal Appl., 296:97-109 (2004)
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  • 6Kong,L.J., Kong, Q.K. Multi-point boundary value problems of second-order differential equations (I).Nonlinear Analysis, 58:909-931 (2004)
  • 7Ma, R.Y. Positive solutions for nonhomogeneous m-point boundary value probleins. Computers and Mathematics with Applications, 47:689-698 (2004)
  • 8Ma, R.Y. Existence theorems for a second order m-point boundary value problem. J. Math. Anal. Appl.,211:545-555 (1997)
  • 9Ma, R.Y, Positive solutions for second order three-point boundary value problems, Appl, Math. Left.,14(1): 1-5 (2001)
  • 10Sun, H.R., Li, W.T. Positive solutions for nonlinear three-point boundary value problems on time scales.J. Math. Anal Appl., 299:508-524 (2004)

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数学的实践与认识
2009年 第11期

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