EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO A CLASS OF THIRD-KIND VOLTERRA INTEGRAL EQUATIONS

Allaei Sonia Seyed; Yang Zhan-Wen; Brunner Hermann

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EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO A CLASS OF THIRD-KIND VOLTERRA INTEGRAL EQUATIONS

机译：一类第三类Volterra积分方程的解的存在性，唯一性和正则性

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We analyze the existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations, including equations with weakly singular kernels. Of particular interest are those integral equations that can be transformed into cordial Volterra integral equations whose underlying integral operator may be non-compact.

机译：我们分析了一类第三类Volterra积分方程（包括具有弱奇异核的方程）的解的存在性，唯一性和正则性。可以转换为亲切的Volterra积分方程的那些积分方程，其潜在的积分算子可能是非紧凑的。

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《The Journal of integral equations and applications》 |2015年第3期|共18页
作者
Allaei Sonia Seyed; Yang Zhan-Wen; Brunner Hermann;
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正文语种 eng
中图分类数学;
关键词
Volterra integral equation of the third kind; cordial Volterra integral equation; existence and regularity of solutions;

机译：第三类Volterra积分方程;质子Volterra积分方程;解的存在性与正则性;

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专利

1. EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO A CLASS OF THIRD-KIND VOLTERRA INTEGRAL EQUATIONS [J] . Allaei Sonia Seyed, Yang Zhan-Wen, Brunner Hermann The Journal of integral equations and applications . 2015,第3期

机译：一类第三类Volterra积分方程的解的存在性，唯一性和正则性
2. The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w -distances [J] . Teerawat Wongyat, Wutiphol Sintunavarat Advances in Difference Equations . 2017,第1期

机译：非线性Fredholm和Volterra积分方程以及带有w距离的非线性分数微分方程的解的存在唯一性。
3. The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w -distances [J] . Teerawat Wongyat, Wutiphol Sintunavarat Advances in Difference Equations . 2017,第1期

机译：非线性Fredholm和Volterra积分方程以及带有w距离的非线性分数微分方程的解的存在唯一性。
4. The local existence and uniqueness of solutions for fuzzy functional Volterra integral equations [C] . Feng Wenli Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on . 2012

机译：模糊泛函Volterra积分方程解的局部存在性和唯一性。
5. CONTRIBUTIONS TO THE EXISTENCE AND STABILITY OF SOLUTIONS TO NONLINEAR VOLTERRA INTEGRAL EQUATIONS. [D] . WARD, JAMES ROBERT, JR. 1974

机译：非线性Volterra型积分方程解的存在性和稳定性的贡献。
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, uniqueness and regularity for a class of semilinear stochastic Volterra equations with multiplicative noise [O] . Baeumer, Boris, Geissert, Matthias, Kovacs, Mihaly 2014

机译：一类半线性的存在性，唯一性和规律性具有乘性噪声的随机Volterra方程
8. On the Solutions of Certain Integral-Like Operator Equations, Existence, Uniqueness and Dependence Theorems [R] . Neustadt, L. W. 1970

机译：关于某类积分算子方程的解，存在性，唯一性和依赖性定理

EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO A CLASS OF THIRD-KIND VOLTERRA INTEGRAL EQUATIONS

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