Vasil’ev, V. V.; Piskarev, S. I.; Selivanova, N. Yu. Integrated semigroups and \(C\)-semigroups and their applications. (English. Russian original) Zbl 06892358 J. Math. Sci., New York 230, No. 4, 513-646 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 131 (2017). Reviewer: Nikita V. Artamonov (Moskva) MSC: 47D60 47D62 65Y20 47A52 65F22 PDF BibTeX XML Full Text: DOI
Matsumoto, Toshitaka; Tanaka, Naoki Nonlinear perturbations of a class of holomorphic semigroups of growth order \({\alpha}\) by comparison theorems for Volterra equations. (English) Zbl 1336.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 146-175 (2013). MSC: 35K90 45D05 34G10 PDF BibTeX XML Cite \textit{T. Matsumoto} and \textit{N. Tanaka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 146--175 (2013; Zbl 1336.35206) Full Text: DOI
Alsulami, Saud Mastour A. C-admissibility and analytic \(C\)-semigroups. (English) Zbl 1236.47041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5754-5758 (2011). Reviewer: Jin Liang (Shanghai) MSC: 47D60 PDF BibTeX XML Cite \textit{S. M. A. Alsulami}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5754--5758 (2011; Zbl 1236.47041) Full Text: DOI
Kostić, Marko Differential and analytical properties of semigroups of operators. (English) Zbl 1213.47044 Integral Equations Oper. Theory 67, No. 4, 499-557 (2010). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 47D03 47D06 47D60 PDF BibTeX XML Cite \textit{M. Kostić}, Integral Equations Oper. Theory 67, No. 4, 499--557 (2010; Zbl 1213.47044) Full Text: DOI
Melnikova, I. V.; Al’shansky, M. A. Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases. (English) Zbl 0922.34050 J. Math. Sci., New York 87, No. 4, 3732-3780 (1997). Reviewer: N.Pavel (Athens/Ohio) MSC: 34G10 47D03 PDF BibTeX XML Cite \textit{I. V. Melnikova} and \textit{M. A. Al'shansky}, J. Math. Sci., New York 87, No. 4, 3732--3780 (1997; Zbl 0922.34050) Full Text: DOI
deLaubenfels, Ralph \(C\)-semigroups and strongly continuous semigroups. (English) Zbl 0803.47034 Isr. J. Math. 81, No. 1-2, 227-255 (1993). MSC: 47D06 PDF BibTeX XML Cite \textit{R. deLaubenfels}, Isr. J. Math. 81, No. 1--2, 227--255 (1993; Zbl 0803.47034) Full Text: DOI
Hieber, M.; Holderrieth, A.; Neubrander, F. Regularized semigroups and systems of linear partial differential equations. (English) Zbl 0789.35075 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 3, 363-379 (1992). Reviewer: J.P.Holmes (Auburn) MSC: 35G10 35K25 47D06 34G10 PDF BibTeX XML Cite \textit{M. Hieber} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 3, 363--379 (1992; Zbl 0789.35075) Full Text: Numdam EuDML
Vasil’ev, V. V.; Kreĭn, S. G.; Piskarev, S. I. Semigroups of operators, cosine operator functions, and linear differential equations. (English. Russian original) Zbl 0748.47038 J. Sov. Math. 54, No. 4, 1042-1129 (1991); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 28, 87-202 (1990). Reviewer: M.Wolff (Tübingen) MSC: 47D06 47D09 34G10 PDF BibTeX XML Cite \textit{V. V. Vasil'ev} et al., J. Sov. Math. 54, No. 4, 1042--1129 (1990; Zbl 0748.47038); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 28, 87--202 (1990) Full Text: DOI