Geodesic
The invertibility of the operator $d/dt+A(t)$ in the space of bounded functions
Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 99-104

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We give various conditions for the unique invertibility of the operator $d/dt+A(t)$ in the space of functions bounded on the whole line. The methods we use essentially rely on the almost-periodicity of the operator-function $A(t)$. 
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     author = {V. V. Zhikov and V. M. Tyurin},
     title = {The invertibility of the operator $d/dt+A(t)$ in the space of bounded functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {99--104},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a10/}
}
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V. V. Zhikov; V. M. Tyurin. The invertibility of the operator $d/dt+A(t)$ in the space of bounded functions. Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 99-104. http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a10/