Monotone Iterative Methodfor Nonlinear Discontinuous ParabolicDifferential Equations 被引量：2

Monotone Iterative Method for Nonlinear Discontinuous Parabolic Differential Equations

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摘要 In this paper, the existence of solutions for discontinuous nonlinear parabolic differential IBVP is proved by using a more generalized monotone iterative method. Moreover, the convergence of this method is discussed. In this paper, the existence of solutions for discontinuous nonlinear parabolic differential IBVP is proved by using a more generalized monotone iterative method. Moreover, the convergence of this method is discussed.

作者 Zou Qingsong Tian Yan Let Jingan(College of Mathematical Sciences, Wuhan University, Wuhan 430072, China)

出处《Wuhan University Journal of Natural Sciences》 CAS 1998年第4期389-393,共5页 武汉大学学报（自然科学英文版）

关键词 discontinuous nonlinear equation monotone iterative method parabolic IBVP discontinuous nonlinear equation monotone iterative method parabolic IBVP

分类号 O175 [理学—基础数学]

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6Sun Lelin,Lei Jingan.Monotone Iterative Method for Nonlinear Discontinuous Differential Equations[J].Wuhan University Journal of Natural Sciences,1998,3(1):1-4. 被引量：6
7TIAN Yan,LEI Jin-gan (College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China).On the Monotone Iterative Method for Set Valued Equation[J].Wuhan University Journal of Natural Sciences,2000,5(1):22-26. 被引量：2

引证文献2

1田岩,周磊.一类非线性集值抛物型方程的广义单调迭代法[J].武汉大学学报（理学版）,2002,48(3):265-269.
2周磊,田岩.一类非线性不连续集值发展型方程的广义单调迭代法[J].Journal of Mathematical Research and Exposition,2003,23(2):299-303.

1陈芳启,陈予恕.ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Applied Mathematics and Mechanics(English Edition),2000,21(5):509-518. 被引量：3
2郭飞,房庆平.ON MONOTONE ITERATIVE METHOD FOR FIRST ORDER IMPULSIVE INTEGRO-DIFFERENTIAL BOUNDARY VALUE PROBLEMS IN BANACH SPACE[J].Annals of Differential Equations,2001,17(3):215-223.
3王培光.OSCILLATION OF SOLUTIONS FOR A CLASS OF NONLINEAR NEUTRAL PARABOLIC DIFFERENTIAL EQUATIONS BOUNDARY VALUE PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2000,21(5):585-590.
4汪更生,刘昌良.OPTIMAL CONTROL PROBLEM OF PARABOLIC DIFFERENTIAL EQUATION WITH TWO POINT BOUNDARY CONDITION[J].Acta Mathematica Scientia,1999,19(2):138-147.
5李永昆,曹进德.OSCILLATION OF THE SOLUTION TO NONLINEAR PARABOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J].Annals of Differential Equations,1999,15(2):143-158.
6Yun Hua OU,Alemdar HASANOV,Zhen Hai LIU.Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations[J].Acta Mathematica Sinica,English Series,2008,24(10):1617-1624. 被引量：5
7苏煜城,沈全.THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION[J].Applied Mathematics and Mechanics(English Edition),1992,13(6):497-506.
8TIAN Yan,LEI Jin-gan (College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China).On the Monotone Iterative Method for Set Valued Equation[J].Wuhan University Journal of Natural Sciences,2000,5(1):22-26. 被引量：2
9孙乐林,徐迪红,程建,李荣华.Monotone Iterative Method for Set valued Quasilinear Elliptic Boundary Value Problems[J].Northeastern Mathematical Journal,2001,17(1):5-8.
10Sun Lelin,Lei Jingan.Monotone Iterative Method for Nonlinear Discontinuous Differential Equations[J].Wuhan University Journal of Natural Sciences,1998,3(1):1-4. 被引量：6

Wuhan University Journal of Natural Sciences

1998年第4期

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Monotone Iterative Methodfor Nonlinear Discontinuous ParabolicDifferential Equations 被引量：2

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