Machindra B. Dhakne, Haribhau L. Tidke
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.
Show me the PDF file (204 KB), TEX file, and other files for this article.
| Machindra B. Dhakne |
Department of Mathematics
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad-431 004, India
| Haribhau L. Tidke |
Department of Mathematics, School of Mathematical Sciences
North Maharashtra University
Jalgaon-425 001, India
Return to the EJDE web page