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A generator for a semigroup of nonlinear transformations


Author: Dorothy Rutledge
Journal: Proc. Amer. Math. Soc. 20 (1969), 491-498
MSC: Primary 47.50
DOI: https://doi.org/10.1090/S0002-9939-1969-0239464-8
MathSciNet review: 0239464
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  • [1] E. Hille and R. S. Phillips, Functional analysis and semi-groups, rev. ed., Amer. Math. Soc. Colloq. Publ., Vol. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 0089373 (19:664d)
  • [2] J. W. Neuberger, An exponential formula for one-parameter semi-groups of nonlinear transformations, J. Math. Soc. Japan 18 (1966), 154-157. MR 0200734 (34:622)
  • [3] -, A product integral formula for one-parameter semi-groups of nonlinear transformations, Abstract 66T-428, Notices Amer. Math. Soc. 13 (1966), 719.
  • [4] Shinnosuke Ôharu, Note on the representation of semi-groups of nonlinear operators, Proc. Japan Acad. 42 (1966), 1149-1154. MR 0220100 (36:3167)
  • [5] Dorothy Rutledge, Semigroups of nonlinear transformations with periodic trajectories, Abstract 66T-347, Notices Amer. Math. Soc. 13 (1966), 622.

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DOI: https://doi.org/10.1090/S0002-9939-1969-0239464-8
Article copyright: © Copyright 1969 American Mathematical Society

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