二次非线性算子方程精确解的表示

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Abstract:

The paper consider the problems of solving a kind of nonl inear operator equation Au+Bu+Cu=f and its exact solution is given.
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Key words: Nonlinear,Operator equation,Reproducing kernel, Exact , solution

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CUI Meng-Gen, LI Yun-Hui-. The Exact Solution of Quadratic Nonlinear Operator Equation[J].Acta mathematica scientia,Series A, 2005, 25(3): 421-427.

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References

[1]李云晖，崔明根. 再生核空间W^2_2(*)中积分微分方程精确解的表示. 数学物理学报，1998,18(增刊):83-92

[2]崔明根. 算子方程Au=f的解的表示. 高等学校计算数学学报，1995,17(1):82-86

[3]Cui Minggen,Deng Zhongxing. Solution to The Definite Solution Problem of Differential Eqations in Space. Advances in Math, 1988,17(2):327-329

[4]邓中兴，崔明根. 第一类算子的解析解. 高等学校计算数学学报，1991,13(1):16-22

[5]崔明根，邓中兴.W^1_2空间中最佳插值算子. 计算数学，1986,8(2):209-216

[6]Wen Songlong, Cui Minggen. Best approximate intopolation operator in sp ace W. J of Computational Mathmatics and Application, 1997,3

[7]Aronszajn N. Theory of reproducing Kernels. Trans A M S, 1950,68:337-404

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The Exact Solution of Quadratic Nonlinear Operator Equation

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