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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 5, Pages 28–37 (Mi ivm8892)
The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel

I. L. Oinas, T. A. Sivacheva, Z. B. Tsalyuk

Chair of Differential and Integral Equations, Kuban State University, 149 Stavropol'skaya str., Krasnodar, 350040 Russia

Abstract: We find the asymptotic structure of the resolvent for the various cases of zeros symbol for the discrete difference equations of recovery with the nonsummable kernel.

Keywords: resolvent, kernel, $l_1$-space, sequence.

UDC: 517.926

Received: 27.11.2012


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:5, 21–29

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© Steklov Math. Inst. of RAS, 2024