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@article{IVM_2003_3_a8, author = {S. P. Toropova}, title = {A relation between semigroups with a singularity and integrated semigroups}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {69--77}, publisher = {mathdoc}, number = {3}, year = {2003}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2003_3_a8/} }
S. P. Toropova. A relation between semigroups with a singularity and integrated semigroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2003), pp. 69-77. http://geodesic.mathdoc.fr/item/IVM_2003_3_a8/
[1] Melnikova I. V., Alshanskii M. A., “Korrektnost zadachi Koshi v banakhovom prostranstve: regulyarnyi i vyrozhdennyi sluchai”, Analiz-9, Itogi nauki i tekhn. Ser. sovr. matem. i ee pril. Tem. obzory, no. 27, VINITI, 1995, 5–64
[2] Neubrander F., “Integrated semigroups and their applications to the abstract Cauchy problem”, Pacific J. Math., 135 (1988), 111–155 | MR | Zbl
[3] Tanaka N., “On the exponentially bounded $C$-semigroups”, Tokyo J. Math., 10:1 (1987), 107–117 | MR | Zbl
[4] Okazawa N., “A generation theorem for semigroups of growth order $\alpha$”, Tohoku Math. J., 26 (1974), 39–51 | DOI | MR | Zbl
[5] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, In. lit., M., 1962, 829 pp. | MR
[6] Miyadera I., Tanaka N., “Exponentially $C$-semigroups and generation of semigroups”, J. Math. Anal. and Appl., 1989, no. 2, 358–365 | DOI | MR
[7] Tanaka N., Miyadera I., “Exponentially bounded $C$-semigroups and integrated semigroups”, Tokyo J. Math., 12 (1989), 101–115 | MR
[8] Davies E. B., Pang M. M., “The Cauchy problem and a generalization of the Hille-Yosida theorem”, Proc. London Math. Soc., 55 (1987), 181–208 | DOI | MR | Zbl
[9] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967, 464 pp. | MR
[10] Melnikova I., Zheng Q., Zhang J., “Semigroup regularization of weakly ill-posed Cauchy problems”, J. Inverse Ill–posed probl., 6 (2002) | MR
[11] Pazy A., Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, Berlin, 1983, 279 pp. | MR | Zbl
[12] Boyadzhiev K., Delaubenfels R., “Boundary values of holomorphic semigroups”, Proc. Amer. Math. Soc., 118 (1993), 113–118 | DOI | MR | Zbl