Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces
Electronic journal of differential equations, Tome 2005 (2005)
In this paper, we study a semilinear differential equations with nonlocal initial conditions in Banach spaces. We derive conditions for $f, T(t)$, and $g$ for the existence of mild solutions.
Classification :
34G10, 47D06
Keywords: semilinear differential equation, nonlocal initial condition, completely continuous operator
Keywords: semilinear differential equation, nonlocal initial condition, completely continuous operator
Xue, Xingmei. Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a26/
@article{EJDE_2005__2005__a26,
author = {Xue, Xingmei},
title = {Existence of solutions for semilinear nonlocal {Cauchy} problems in {Banach} spaces},
journal = {Electronic journal of differential equations},
year = {2005},
volume = {2005},
zbl = {1075.34051},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a26/}
}