Renewal equations and moments of branching processes
Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 3-14.

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Some theorems, which strengthen the asymptotic properties of the solutions of renewal equations, are proved. These results are applied in a study of the first two moments of age-dependent branching processes.
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B. A. Sevast'yanov. Renewal equations and moments of branching processes. Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a0/