Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces-Reference-Cited by-同舟云学术

Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces

Published:1999-01 Issue:1 Volume:93 Page:22-41
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Melnikova I. V.,Filinkov A. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02365213.pdf

Reference58 articles.

1. K. Yosida,Functional Analysis, Springer-Verlag, Berlin-New York (1980).

2. S. G. Krein,Linear Differential Equations in Banach Space, Amer. Math. Soc., Providence, Rhode Island (1972).

3. S. G. Krein and M. I. Hazan, “Differential equations in a Banach space,” In:Progress in Science and Technology. Series on Math. Anal. Vol. 21,Itogi Nauki i Tekhniki, VINITI, Moscow (1983), pp. 130–232.

4. I. V. Melnikova,Operator-functions εC(t), εS(t) and well-posedness of the Cauchy problem for the second-order equation, Deposited at the All-Union Institute for Scientific and Technical Information (1982).

5. I. V. Melnikova and A. I. Filinkov, “Classification and well-posedness of the Cauchy problem for second-order equations in a Banach space,”Dokl. Akad. Nauk SSSR,276, 1066–1071 (1984); English transl. inSov. Math. Dokl.,29 (1984).

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