journal article May 01, 1998

On the identities of analytic semigroups of operators with kernels

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References
11
[1]
G. A. Sviridyuk, “The Cauchy problem for a linear singular operator equation of Sobolev type,” Differentsial'nye Uravneniya,23, No. 12, 2169–2171 (1987).
[2]
D. B. Henry, Geometric Theory of Semilinear Parabolic Equations [Russian translation], Mir, Moscow (1985).
[3]
V. V. Vasil'ev, S. G. Kreîn, and S. I. Piskarev, “Operator semigroups, cosine operator functions, and linear differential equations,” in: Itogi Nauki i Tekhniki, Mathematical Analysis, Vol. 28 [in Russian], VINITI, Moscow, 1990, pp. 87–202.
[4]
Ph. P. Clement, H. J. Heijmans, S. Angenent, C. J. van Duijn, and B. de Pagter, One-Parameter Semigroups. Abstract Differential Equations with Applications, [Russian translation], Mir, Moscow (1992).
[5]
G. A. Sviridyuk, “A problem for the generalized Boussinesq filtration equation,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 2, 55–61 (1989).
[6]
G. A. Sviridyuk and T. G. Sukacheva, “The Cauchy problem for a class of semilinear equations of Sobolev type,” Sibirsk. Mat. Zh.,31, No. 5, 109–119 (1990).
[7]
G. A. Sviridyuk and M. V. Sukhanova, “Solvability of the Cauchy problem for linear singular equations of evolution type,” Differentsial'nye Uravneniya,28, No. 3, 323–330 (1992).
[8]
G. A. Sviridyuk, “Semilinear equations of Sobolev type with a relatively sectorial operator”, Dokl. Akad. Nauk,329, No. 3, 274–277 (1993).
[9]
G. A. Sviridyuk and V. E. Fëdorov, “Analytic semigroups with kernel and linear equations of Sobolev type,” Sibirsk. Mat. Zh.,36, No. 5, 1130–1145 (1995).
[10]
G. A. Sviridyuk, “Semilinear equations of Sobolev type with a relatively bounded operator,” Dokl. Akad. Nauk SSSR,318, No. 4, 828–831 (1991).
[11]
G. A. Sviridyuk, “On the general theory of operator semigroups,” Uspekhi Mat. Nauk,49, No. 4, 47–74 (1994).
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Published
May 01, 1998
Vol/Issue
39(3)
Pages
522-533
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G. A. Sviridyuk, V. E. Fedorov (1998). On the identities of analytic semigroups of operators with kernels. Siberian Mathematical Journal, 39(3), 522-533. https://doi.org/10.1007/bf02673910