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Ordinary differential equations in linear topological space. II. (English) Zbl 0181.42801


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[1] Balakrishnan, A. V., Fractional powers of closed operators and the semigroups generated by them, Pacific J. Math., 10, 419-439 (1960) · Zbl 0103.33502
[2] Balakrishnan, A. V., On a class of elliptic equations in the theory of Markoff processes, J. Math. Mech., 10, 607-618 (1961) · Zbl 0113.12502
[3] Bourbaki, N., Eléments de Mathématique, (Espaces Vectoriels Topologiques (1966), Hermann: Hermann Paris), ch. I-II · Zbl 0165.56403
[4] Bourbaki, N., Eléments de Mathématique, (Espaces Vectoriels Topologiques (1966), Hermann: Hermann Paris), ch. III-V · Zbl 0165.56403
[5] Dunford, N.; Schwartz, J. T., Linear Operators (1958), Interscience: Interscience New York, part I
[6] Dunford, N.; Schwartz, J. T., Linear Operators (1963), Interscience: Interscience New York, part II
[7] Fattorini, H. O., Ordinary differential equations in linear topological spaces I, (J. Diff. Eqs., 14 (1967)), 140, Announcement of results in Notices · Zbl 0908.93033
[8] Hille, E.; Phillips, R. S., Functional analysis and semi-groups, (Am. Math. Soc. Colloq. Publ. 31 (1957)), Providence, R.I.
[9] Kurepa, S., On some functional equations in Banach spaces, Studia Math., 19, 149-158 (1960) · Zbl 0100.32702
[10] Kurepa, S., A cosine functional equation in Banach algebras, Acta Sci. Math. Szeged., 23, 255-267 (1962) · Zbl 0113.31702
[11] Lyubich, Yu. I., Russian Math. Surveys, 4, 1-52 (1967), English translation in: · Zbl 0173.12002
[12] Miyadera, I., Semi-groups of operators in Fréchet space and applications to partial differential equations, Tohoku Math. J., 11, 244-248 (1959), (2)
[13] Sz. Nagy, B.de, On uniformly bounded linear transformations in Hilbert space, Acta Sci. Math. Szeged., 11, 152-157 (1947) · Zbl 0029.30501
[14] Vilenkin, N. A.; Gorin, E. A., Functional Analysis (1964), Izdatelstvo “Nauka”: Izdatelstvo “Nauka” Moscow
[15] Weiss, B., Abstract Vibrating Systems, J. Math. Mech., 17, 241-254 (1967) · Zbl 0155.46302
[16] Widder, D. V., The Laplace Transform (1946), Princeton University Press: Princeton University Press Princeton, N.J · Zbl 0060.24801
[17] Yosida, K., Functional Analysis (1965), Academic Press: Academic Press New York · Zbl 0126.11504
[18] Yosida, K., An operator-theoretical integration of the wave equation, J. Math. Soc. Japan, 8, 79-92 (1956) · Zbl 0071.09202
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