EXISTENCE RESULTS FOR NON-LINEAR SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL IN BANACH SPACES

Mohmed H. Saleh; Samir M. Amer; Marwa H. Ahmed

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EXISTENCE RESULTS FOR NON-LINEAR SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL IN BANACH SPACES

机译：Banach空间中具有Hilbert核的非线性奇异积分方程的存在性。

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摘要

A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.

机译：通过在Banach空间中应用Schauder不动点定理，研究了一类带有Hilbert核的非线性奇异积分方程和一类相关的拟线性奇异积分微分方程。

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来源
《Applications of Mathematics》 |2009年第4期|337-349|共13页
作者
Mohmed H. Saleh; Samir M. Amer; Marwa H. Ahmed;
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作者单位

Department of Mathematics,Faculty of Science, Zagazig University, Zagazig, Egypt;

Department of Mathematics,Faculty of Science, Zagazig University, Zagazig, Egypt;

Department of Mathematics,Faculty of Science, Zagazig University, Zagazig, Egypt;

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原文格式 PDF
正文语种 eng
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关键词
non-linear singular integral equation; schauder's fixed point theorem; banach space;

机译：非线性奇异积分方程肖德定点定理;香蕉空间;

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专利

1. Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces [J] . Ahmed Marwa H., Amer Samir M., Saleh Mohmed H. Applications of mathematics . 2009,第4期

机译：Banach空间中具有Hilbert核的非线性奇异积分方程的存在性结果
2. Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces [J] . Chen Xu, Zhang Xingqiu Electronic Journal of Qualitative Theory of Differential Equations . 2011,第13a16期

机译：Banach空间中无限区间上具有积分边界条件的奇异脉冲微分方程正解的存在性。
3. Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh [J] . Hossein Beyrami, Taher Lotfi, Katayoun Mahdiani Applied numerical mathematics . 2017,第octa期

机译：梯度网格上弱奇异Volterra积分方程解的再生核Hilbert空间方法的稳定性和误差分析
4. B-SPLINE INTERPOLATION METHOD FOR THE NUMERICAL SOLUTION OF SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL [C] . Moin Uddin, Sheo Kumar, A. L. Sangal International Conference on Scientific Computing . 2008

机译：HILBERT内核奇异整体方程数值解的B样条插值方法
5. L(p) estimates for singular integrals with kernels belonging to certain block spaces. [D] . Al-qassem, Hussain Mohammed. 1999

机译：L（p）估计具有属于某些块空间的核的奇异积分。
6. Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces [O] . Mian Bahadur Zada, Muhammad Sarwar, Stojan Radenović -1

机译：通过定点存在非线性积分方程组的唯一公共解会导致度量空间不完整
7. Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces [O] . Saleh, Mohmed H., Amer, Samir M., Ahmed, Marwa H. 2009

机译：Banach空间中具有Hilbert核的非线性奇异积分方程的存在结果
8. The Existence, Uniqueness, Differentiability, and Analyticity of the Solutions of Non-Linear Differential Equations in Banach Spaces with Applications to Navier Stokes Equations [R] . Khatchatooriantz, L. A. 1968

机译：Banach空间中非线性微分方程解的存在唯一性，可微性和解析性及其在Navier stokes方程中的应用

EXISTENCE RESULTS FOR NON-LINEAR SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL IN BANACH SPACES

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