The kernel method and systems of functional equations with several conditions

Hou, Q.-H.; Mansour, T.

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The kernel method and systems of functional equations with several conditions

机译：多条件下泛函方程的核方法和系统

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摘要

We generalize the kernel method to equation systems in which the number of unknowns is allowed to exceed the number of equations. With this generalization, we derive the generating functions for several kinds of sequences and generating trees whose recursions are dependent on the parity of the indices.

机译：我们将核方法推广到方程系统，其中未知数的数量可以超过方程的数量。通过这种概括，我们导出了几种序列的生成函数，并生成了其递归依赖于索引奇偶性的树。

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来源
《Journal of Computational and Applied Mathematics》 |2011年第5期|共8页
作者
Hou, Q.-H.; Mansour, T.;
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正文语种 eng
中图分类计算数学;
关键词
Generating functions; Generating trees; Kernel method; Sequences with two indices;

机译：生成函数;生成树;核方法;具有两个索引的序列;

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专利

1. The kernel method and systems of functional equations with several conditions [J] . Hou, Q.-H., Mansour, T. Journal of Computational and Applied Mathematics . 2011,第5期

机译：多条件下泛函方程的核方法和系统
2. A Reproducing Kernel Method for Solving Systems of Integro-differential Equations with Nonlocal Boundary Conditions [J] . Ghasemi M., Fardi M., Moradi E. Iranian journal of science and technology . 2021,第4期

机译：具有非识别边界条件的积分微分方程求解系统的再现核方法
3. Kernel method and system of functional equations [J] . Mansour T, Song CW Journal of Computational and Applied Mathematics . 2009,第1期

机译：核方法和功能方程组
4. NUMERICAL METHODS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH TWO POINT BOUNDARY CONDITIONS AND WEAKLY SINGULAR KERNELS [C] . Sheo Kumar, Harsh Kumar Verma International Conference on Scientific Computing . 2007

机译：两点边界条件和弱奇异内核的Volterra积分微分方程的数值方法
5. Properties of Divergence-Free Kernel Methods for Approximation and Solution of Partial Differential Equations. [D] . Araujo Mitrano, Arthur. 2016

机译：无散度核方法的特征和偏微分方程的解。
6. On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition [O] . Fangqin Zhou -1

机译：主条件下奇异方程组非精确牛顿法的局部收敛性分析
7. KERNEL METHOD AND SYSTEMS OF FUNCTIONAL EQUATIONS WITH SEVERAL CONDITIONS [O] . Qing-hu Hou, Toufik Mansour 2015

机译：具有几个条件的函数方程的核方法和系统

The kernel method and systems of functional equations with several conditions

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