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On a functional differential equation in locally convex spaces

  • Sadayuki Yamamuro (a1)

Abstract

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.

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Copyright

References

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[1]Barbu, Viorol, Nonlinear semigroups and differential equations in Banach spaces (Noordhoff, Leyden, The Netherlands, 1976).
[2]Crandall, M.G. and Nohel, J.A., “An abstract functional differential equation and a related nonlinear Volterra equation”, Israel J. Math. 29 (1978), 313328.
[3]Köthe, G., Topological vector spaces I (Die Grundlehren der mathematischen Wissenschaften, 159. Springer-Verlag, Berlin, Heidelberg, New York, 1967).
[4]Moore, Robert T., “Banach algebras of operators in locally convex spaces”, Bull. Amer. Math. Soc. 75 (1969), 6873.
[5]Yamamuro, Sadayuki, Differential calculus in topological linear spaces (Lecture Notes in Mathematics, 374. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[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).
[7]Yamamuro, Sadayuki, “Notes on the inverse mapping theorem in locally convex spaces”, Bull. Austral. Math. Soc. 21 (1980), 419461.
[8]Yamamuro, Sadayuki, “On the surjectivity of linear maps on locally convex spaces”, J. Austral. Math. Soc. Ser. A 32 (1982), 187211.
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On a functional differential equation in locally convex spaces

  • Sadayuki Yamamuro (a1)

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