Geodesic
On Nonlinear Equations of Evolution in Banach Spaces
Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 57
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The paper contains an existence theorem and a Kneser-type theorem for the problem $x'=A(t)x+f(t,x)$, $x(0)=x_0$, where $\{A(t)\}_{t\in[0,d]}$ is a family of linear operator generating an evolution operator $U(t,s)$, and $f$ is a continuous function satisfying a Kamke condition with respect to the measure of noncompactness.
Classification : 34G05 
@article{PIM_1984_N_S_36_50_a8,
     author = {Stanislaw Szufla},
     title = {On {Nonlinear} {Equations} of {Evolution} in {Banach} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {57 },
     year = {1984},
     volume = {_N_S_36},
     number = {50},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a8/}
}
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Stanislaw Szufla. On Nonlinear Equations of Evolution in Banach Spaces. Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 57 . http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a8/