BOUNDED SOLUTIONS AND L_p-SOLUTIONS OF A VOLTERRA INTEGRAL EQUATION IN A BANACH SPACE

H. Yu. Yushchenko

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BOUNDED SOLUTIONS AND L_p-SOLUTIONS OF A VOLTERRA INTEGRAL EQUATION IN A BANACH SPACE

机译：Banach空间中Volterra积分方程的有界解和L_p解

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摘要

We obtain a criterion for solutions of a linear Volterra integral equation in a Banach space to be bounded or summable to the pth power.

机译：我们获得了将Banach空间中的有界或可加到pth次幂的线性Volterra积分方程的解的标准。

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《Journal of Mathematical Sciences》 |2013年第3期|470-478|共9页
作者
H. Yu. Yushchenko;
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作者单位

Shevchenko Kyiv National University, Kyiv, Ukraine;

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1. On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces [J] . Leiva Hugo, Matute Jesús, Merentes Nelson, Cubo : A Mathematical Journal . 2015,第2期

机译：Banach空间中有界变值的连续函数空间中的一类Volterra积分方程。
2. THE SET OF SOLUTIONS OFVOLTERRA AND URYSOHN INTEGRAL EQUATIONS IN BANACH SPACES [J] . ANETA SIKORSKA-NOWAK The Rocky Mountain journal of mathematics . 2010,第4期

机译：Banach空间中Volterra和Urysohn积分方程的解集。
3. ITERATIVE SOLUTIONS FOR A CLASS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES [J] . Xiaoyan Zhang Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2007,第5期

机译：Banach空间中一类非线性脉冲Volterra积分方程的迭代解
4. Numerical Bounded Solutions of Fuzzy Volterra Integral Equations [C] . Zhang Dongkai, Feng Wenli, Qiu Jiqing, Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09 . 2009

机译：模糊Volterra积分方程的数值有界解。
5. UNIFORMLY VALID SOLUTIONS TO VOLTERRA INTEGRAL EQUATIONS. [D] . LING, RINA. 1976

机译：VOLTERRA积分方程的统一有效解。
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

机译：Banach空间中非线性方程解的单调性方法
7. The Set of Solutions of Volterra and Urysohn Integral Equations in Banach Spaces [O] . Aneta Sikorska-Nowak 2010

机译：Banach空间中的Volterra和Urysohn积分方程的溶液集合
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

BOUNDED SOLUTIONS AND L_p-SOLUTIONS OF A VOLTERRA INTEGRAL EQUATION IN A BANACH SPACE

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