Geodesic
An estimate for the spectral radius of an operator associated with an equation of neutral type
Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 67-78

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We obtain new bounds for the spectral radius of the operator $(Ax)(t)=a(t)x(t-h)$ in spaces of functions which are $\omega$-periodic, almost periodic, and continuous and bounded on the whole axis. The results are used to prove a theorem on the existence ofohgr-periodic, bounded, and almost periodic solutions for linear functional-differential equations of neutral type. 
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     author = {\`E. Mukhamadiev and B. N. Sadovskii},
     title = {An estimate for the spectral radius of an operator associated with an equation of neutral type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {67--78},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/}
}
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È. Mukhamadiev; B. N. Sadovskii. An estimate for the spectral radius of an operator associated with an equation of neutral type. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 67-78. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/