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时间模上一阶积分边值问题的单调迭代方法 被引量：1

Monotone Iteration Method for the First-order Integral Boundary Value Problem on Time Scales
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摘要 运用单调迭代方法和上下解方法构造了两个单调序列,从上下两个方向分别收敛到一阶积分边值问题。 Monotone iteration method and upper and lower solutions were used to approach to the solution of the first-order integral boundary value problem on time scales form below and above by monotone convergent sequence.
作者 崔学英 师向云
机构地区 太原科技大学 信阳师范学院
出处 《太原科技大学学报》 2006年第3期201-203,234,共4页 Journal of Taiyuan University of Science and Technology
关键词 时间模 上下解方法 单调迭代方法 Time scales, Method of upper and lower solutions, Monotone iteration method
分类号 O177 [理学—基础数学]
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参考文献6

  • 1AGARWAL R P,BOHNER M,OREGAN,PETERSON A.Dynamic equations on time scales:A surver[J].J Comp Appl Math,2002,141:1-26.
  • 2AGANWALl R P,BOHNER M.Basic calculus on time scales and some of its applications[J].Results Math,1999,35(1-2):3-22.
  • 3LADDE S,LAKSHMIKANTHAM V,VATSALA A S.Monotone lterative Techniques for Nonlinear Differential Equations[M].London,Pitman,1985.
  • 4KAYMAKCALAN B,LAWRENCE B A.Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales[J].Nonlinear Analysis:Real World Applications,2003,(4):245-259.
  • 5崔学英,师向云,闫卫平.时间模上一阶初值问题的拟线性方法[J].山西大学学报（自然科学版）,2004,27(1):20-22. 被引量：2
  • 6JANKOWSHIL T.Differential equation with integral boundary conditions[J].Journal of Computional and Applied Mathematics,2002,147:1-8.

二级参考文献5

  • 1[1]LADDE G S, LAKSHMIKANTHAM V, VATSALA A S. Monotone Iterative Technique for Nonlinear Differential Equation [M]. London: Pitman, 1985.
  • 2[2]MOHAPATRA R N,VAJRAVELU K,YIN Y. Generalized Quasilinearization method for a second order boundary value problem[J]. Nonlinear Analysis, 1999,36: 799-806.
  • 3[3]HILQER S. Analysis on measure chains-a unified approach to continuous and discrete calculus[J]. Results Math, 1990,18:19-56.
  • 4[4]MOHAPATRA R N,VAJRAVELU K. Generalized Quasilinearization Method and Rapid Convergence for First Order Initial Value Problems[J]. J Math Anal Appl, 1997,207:206-219.
  • 5[5]KAYMAKCALAN B. Existence and Comparison Results for Dynamic Systems on a Time Scales[J]. J Math Anal Appl,1993,172:243-255.

共引文献1

同被引文献4

  • 1BOHHER M, PETERSON A. Dynamic equations on time scales, An introduction with applications [ M ]. Boston: Birkhauser, 2001.
  • 2EIOE PAUL W. The Method of Quasilinearization and Dynamic Equations on Compact Measure Chains[ J]. Journal of Computational and Applied Mathematics ,2002,141 : 159-167.
  • 3KAYMAKCALAN B, LAWRENCE BA. Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales [ J ]. Nonlinear Analysis: Real World Applications, 2003 (4) : 245 -259.
  • 4LAKSHMIKANTHAM V, LEELA S. Remark On First and Second Order Periodic Boundary Value Problems [ J ]. Nonlinear Analysis, 1984,8:281-287.

引证文献1

太原科技大学学报
2006年 第3期

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