Machindra B. Dhakne, Haribhau L. Tidke
Abstract:
In this article, we study the existence and uniqueness of mild and
strong solutions of a nonlinear mixed Volterra-Fredholm
integrodifferential equation with nonlocal condition in Banach
spaces. Furthermore, we study continuous dependence of mild
solutions. Our analysis is based on semigroup theory and Banach
fixed point theorem.
Submitted April 28, 2010. Published February 18, 2011.
Math Subject Classifications: 45N05, 47B38, 47H10.
Key Words: Existence and uniqueness; mild and strong solutions;
mixed Volterra-Fredholm; integrodifferential equation;
Banach fixed point theorem; nonlocal condition.
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Machindra B. Dhakne Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431 004, India email: mbdhakne@yahoo.com |
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Haribhau L. Tidke Department of Mathematics, School of Mathematical Sciences North Maharashtra University Jalgaon-425 001, India email: tharibhau@gmail.com |
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