Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification :
45N05, 47B38, 47H10
Keywords: existence and uniqueness, mild and strong solutions, mixed Volterra-Fredholm, integrodifferential equation, Banach fixed point theorem, nonlocal condition
Keywords: existence and uniqueness, mild and strong solutions, mixed Volterra-Fredholm, integrodifferential equation, Banach fixed point theorem, nonlocal condition
@article{EJDE_2011__2011__a33,
author = {Dhakne, Machindra B. and Tidke, Haribhau L.},
title = {Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in {Banach} spaces},
journal = {Electronic journal of differential equations},
year = {2011},
volume = {2011},
zbl = {1208.45008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/}
}
TY - JOUR AU - Dhakne, Machindra B. AU - Tidke, Haribhau L. TI - Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces JO - Electronic journal of differential equations PY - 2011 VL - 2011 UR - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/ LA - en ID - EJDE_2011__2011__a33 ER -
%0 Journal Article %A Dhakne, Machindra B. %A Tidke, Haribhau L. %T Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces %J Electronic journal of differential equations %D 2011 %V 2011 %U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/ %G en %F EJDE_2011__2011__a33
Dhakne, Machindra B.; Tidke, Haribhau L. Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/