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On a functional differential equation in locally convex spaces

Published online by Cambridge University Press:  17 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, PO Box 4, Canberra, ACT 2600, Australia.
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Abstract

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The notion of accretiveness for multi-valued nonlinear maps is defined in locally convex spaces and it is used to obtain a locally convex space version of a result of M.G. Crandall and J.A. Nohel.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 269 - 283
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Barbu, Viorol, Nonlinear semigroups and differential equations in Banach spaces (Noordhoff, Leyden, The Netherlands, 1976).CrossRefGoogle Scholar
[2]Crandall, M.G. and Nohel, J.A., “An abstract functional differential equation and a related nonlinear Volterra equation”, Israel J. Math. 29 (1978), 313–328.CrossRefGoogle Scholar
[3]Köthe, G., Topological vector spaces I (Die Grundlehren der mathematischen Wissenschaften, 159. Springer-Verlag, Berlin, Heidelberg, New York, 1967).Google Scholar
[4]Moore, Robert T., “Banach algebras of operators in locally convex spaces”, Bull. Amer. Math. Soc. 75 (1969), 68–73.CrossRefGoogle Scholar
[5]Yamamuro, Sadayuki, Differential calculus in topological linear spaces (Lecture Notes in Mathematics, 374. Springer-Verlag, Berlin, Heidelberg, New York, 1974).CrossRefGoogle Scholar
[6]Yamamuro, Sadayuki, A theory of differentiation in locally convex spaces (Memoirs of the American Mathematical Society, 212. American Mathematical Society, Providence, Rhode Island, 1979).Google Scholar
[7]Yamamuro, Sadayuki, “Notes on the inverse mapping theorem in locally convex spaces”, Bull. Austral. Math. Soc. 21 (1980), 419–461.CrossRefGoogle Scholar
[8]Yamamuro, Sadayuki, “On the surjectivity of linear maps on locally convex spaces”, J. Austral. Math. Soc. Ser. A 32 (1982), 187–211.CrossRefGoogle Scholar