Geodesic
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 
@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/}
}
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%A Xue,  Xingmei
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%J Electronic journal of differential equations
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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/