Geodesic
Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a226,
     author = {Xue, Xingmei},
     title = {Existence of solutions for semilinear nonlocal {Cauchy} problems in {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a226/}
}
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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__a226/