The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 28-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, $l_1$-space, sequence.
Mots-clés : kernel
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I. L. Oinas; T. A. Sivacheva; Z. B. Tsalyuk. The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 28-37. http://geodesic.mathdoc.fr/item/IVM_2014_5_a2/

[1] Oinas I. L., Tsalyuk Z. B., Asimptoticheskii kharakter rezolventy diskretnogo uravneniya v svertkakh, Dep. v VINITI No 3127-B98, Kubanskii gos. un-t, 1998

[2] Oinas I. L., Asimptoticheskoe povedenie rezolventy diskretnogo uravneniya tipa svertki v neustoichivom sluchae, Dep. v VINITI No 2636-B99, Kubanskii gos. un-t, 1999

[3] Oinas I. L., Asimptoticheskaya struktura rezolventy dlya nekotorogo klassa yader raznostnogo uravneniya, Dep. v VINITI No 517-B2004, Kubanskii gos. un-t, 2004

[4] Tsalyuk Z. B., Tsalyuk M. V., “Asimptotika rezolventy uravneniya Volterra s raznostnym nesummiruemym yadrom”, Izv. vuzov. Matem., 2010, no. 4, 72–82 | MR | Zbl

[5] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, v. 2, Nauka, M., 1962

[6] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, v. 1, Mir, M., 1967 | Zbl