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Monotone Iterative Method for Nonlinear Discontinuous Differential Equations 被引量：6

Monotone Iterative Method for Nonlinear Discontinuous Differential Equations
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摘要 A monotone iterative method for some discontinuous variational boundary problems is given, the convergence of iterative solutions is proved by the theory of partially ordered sets. It can be regarded as a generalization of the classical monotone iteration theory for continuous problems. A monotone iterative method for some discontinuous variational boundary problems is given, the convergence of iterative solutions is proved by the theory of partially ordered sets. It can be regarded as a generalization of the classical monotone iteration theory for continuous problems.
作者 Sun Lelin Lei Jingan
出处 《Wuhan University Journal of Natural Sciences》 EI CAS 1998年第1期1-4,共4页 武汉大学学报（自然科学英文版）
关键词 nonlinear differential equations approximate solution monotone iterative nonlinear differential equations approximate solution monotone iterative
分类号 O175 [理学—基础数学]
  • 相关文献

同被引文献26

  • 1肖进胜,冯慧,易本顺,郭兰英.半线性抛物型微分包含的有限差分法[J].武汉大学学报（理学版）,2006,52(3):262-266. 被引量：5
  • 2Carl S. A Monotone Iterative Scheme for Nonlinear Reaction-diffusion Systems Having Nomonotone Reaction terms[J].J Math Annal Appl,1988,134:81-93.
  • 3Zhang Gong-qing. Free Boundary Problems and the Set-Valued mappings[J]. Journal of Differential Equations, 1983,49:1-28.
  • 4Lei Jin-gan. On the Convergence of Discretizations for Set-Valued Operator Equations[J].ZAMM, 1997,77(11):861-866.
  • 5Heikkla S, Lakschmikantham V. Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations[M]. New York :Marcel Dekker, INC, 1994.
  • 6Huang Ming-you. Finite Element Method on Evolution Equation[M].Shanghai:Shanghai Science and Technology Press,1988.
  • 7Lei Jingan.On the convergence of discretizations for set valued operator equations[J].ZAMM.Z.Angew.Math.Mech.1997,77(11):861-866
  • 8Lei Jingan,Sun Lelin.Approximate solutions for set valued operator equations[J] .J Wuhan Univ.(Natural Science Edition),1997,43 (5) :598- 604
  • 9Heikkila S,Lakschmikantham V.Monotone iterative techniques for discontinuous nonlinear differential equation[M].New York:Marcel Dekker,INC,1994
  • 10Guo Benyu,Miller J H.Iterative and Petrov-Galerkin methods for a nonlinear two-point boundary value problem with application to semiconductor devices[A].Numerical Methods for Partial Differential Equations[M].Singapore:World Sciencetific,1991,174-186

引证文献6

二级引证文献7

Wuhan University Journal of Natural Sciences
1998年 第1期

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