EXISTENCE AND UNIQUENESS OF MILD AND STRONGSOLUTIONS OF NONLINEAR VOLTERRAINTEGRODIFFERENTIAL EQUATIONSIN BANACH SPACES

H. L. Tidke; M. B. Dhakne

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EXISTENCE AND UNIQUENESS OF MILD AND STRONGSOLUTIONS OF NONLINEAR VOLTERRAINTEGRODIFFERENTIAL EQUATIONSIN BANACH SPACES

机译：Banach空间中非线性非线性波动积分微分方程的温和强解的存在唯一性。

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In this paper we prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra integrodifferential equation with nonlocal condition. Our analysis is based on semigroup theory and Banach fixed point theorem and inequalities are established by Gronwall and B. G. Pachpatte.

机译：在本文中，我们证明了具有非局部条件的非线性Volterra积分微分方程的弱解和强解的存在性和唯一性。我们的分析基于半群理论，Bronach不动点定理和不等式由Gronwall和B. G. Pachpatte建立。

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《Demonstratio Mathematica》 |2010年第3期|共10页
作者
H. L. Tidke; M. B. Dhakne;
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正文语种 eng
中图分类数学;
关键词
Volterra integrodifferential; strong solutions; continuous de-pendence; Pachpatte's inequality; nonlocal condition;

机译：Volterra积分微分;强解;连续依赖;Pachpatte不等式;非局部条件;

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专利

1. EXISTENCE AND UNIQUENESS OF MILD AND STRONGSOLUTIONS OF NONLINEAR VOLTERRAINTEGRODIFFERENTIAL EQUATIONSIN BANACH SPACES [J] . H. L. Tidke, M. B. Dhakne Demonstratio Mathematica . 2010,第3期

机译：Banach空间中非线性非线性波动积分微分方程的温和强解的存在唯一性。
2. Global Existence of Mild Solutions of Second Order Nonlinear Volterra Integrodifferential Equations in Banach Spaces [J] . H. L. Tidke, M. B. Dhakne Differential equations and dynamical systems . 2010,第4期

机译：Banach空间中二阶非线性Volterra积分微分方程的温和解的整体存在性。
3. Global Existence of Mild Solutions of Second Order Nonlinear Volterra Integrodifferential Equations in Banach Spaces [J] . H. L. Tidke, M. B. Dhakne Differential equations and dynamical systems . 2010,第4期

机译：Banach空间中二阶非线性Volterra积分微分方程的温和解的整体存在性。
4. EXISTENCE OF SLIDING MOTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN BANACH SPACES [C] . Laura Levaggi AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：Banach空间中非线性演化方程的滑动运动的存在性
5. Existence and uniqueness of the critical wave number and critical Rayleigh number for the asymmetric planar Benard problem and a function space formulation of the nonlinear problem. [D] . Glomski, Matthew. 2007

机译：非对称平面贝纳德问题的临界波数和临界瑞利数的存在与唯一性以及非线性问题的函数空间公式。
6. Existence Results for Differential Inclusions with Nonlinear Growth Conditions in Banach Spaces [O] . Messaoud Bounkhel 2013

机译：Banach空间中具有非线性增长条件的微分包含的存在性结果
7. Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space [O] . Cesari, Lamberto, Engl, Heinz W. 1981

机译：Banach空间中非线性替代问题解的存在唯一性
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 AND UNIQUENESS OF MILD AND STRONGSOLUTIONS OF NONLINEAR VOLTERRAINTEGRODIFFERENTIAL EQUATIONSIN BANACH SPACES

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