Nonautonomous functional equations and nonlinear evolution operators

Rosanna Villella-Bressan; Glenn F. Webb

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 71, page 177-194
  • ISSN: 0041-8994

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Villella-Bressan, Rosanna, and Webb, Glenn F.. "Nonautonomous functional equations and nonlinear evolution operators." Rendiconti del Seminario Matematico della Università di Padova 71 (1984): 177-194. <http://eudml.org/doc/107931>.

@article{Villella1984,
author = {Villella-Bressan, Rosanna, Webb, Glenn F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {nonlinear evolution operator; nonlinear non autonomous functional equation; translation property},
language = {eng},
pages = {177-194},
publisher = {Seminario Matematico of the University of Padua},
title = {Nonautonomous functional equations and nonlinear evolution operators},
url = {http://eudml.org/doc/107931},
volume = {71},
year = {1984},
}

TY - JOUR
AU - Villella-Bressan, Rosanna
AU - Webb, Glenn F.
TI - Nonautonomous functional equations and nonlinear evolution operators
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 71
SP - 177
EP - 194
LA - eng
KW - nonlinear evolution operator; nonlinear non autonomous functional equation; translation property
UR - http://eudml.org/doc/107931
ER -

References

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  1. [1] M.G. Crandall - A. Pazy, Nonlinear evolution equations in Banach spaces, Israel J. Math., 11 (1972), pp. 57-94. Zbl0249.34049MR300166
  2. [2] J. Dyson - R. Villella-Bressan, Functional differential equations and nonlinear evolution operators, Proc. Roy. Soc. Edinburgh, 75A (1976), pp. 223-234. Zbl0361.34055MR442402
  3. [3] J. Dyson - R. Villella-Bressan, Semigroups of transtations associated with functional and functional differential equations, Proc. Roy. Soc. Edinburgh, 82A (1978), pp . 171-188. Zbl0419.47032MR532900
  4. [4] L.C. Evans, Nonlinear evolution equations in an arbitrary Banach space, Israel J. Math., 26 (1977), pp. 1-42. Zbl0349.34043MR440431
  5. [5] W. Feller, An introduction to probability theory and its applications, vol. II, John Wiley and Sons Inc. (1966). Zbl0138.10207MR210154
  6. [6] H. Flaschka - M.J. Leitman, On semigroups of nonlinear operators and the solution of the functional differential equation x(t) = F(xt), J. Math. Anal. Appl., 49 (1975), pp. 649-658. Zbl0321.47046MR361959
  7. [7] A.T. Plant, Nonlinear semigroups of translation in Banach spaces generated by functional differential equations, J. Math. Anal. Appl., 60 (1977), pp. 67-74. Zbl0366.47021MR447745
  8. [8] R. Villella-Bressan, On suitable spaces for studying functional equations using semigroup theory, Nonlinear differential equations, Academic Press, (1981), pp. 347-357. Zbl0471.47041MR615110
  9. [9] R. Villella-Bressan, Functional equations of delay type in L1 spaces, to appear. Zbl0579.34056MR799984
  10. [10] G.F. Webb, Autonomous nonlinear functional differential equations and nonlinear semigroups, J. Math. Anal. Appl., 45 (1974), pp. 1-12. Zbl0277.34070MR348224

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