On the propagation of solutions of a Delay equation

Janet Dyson; Rosanna Villella-Bressan

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 80, page 55-63
  • ISSN: 0041-8994

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Dyson, Janet, and Villella-Bressan, Rosanna. "On the propagation of solutions of a Delay equation." Rendiconti del Seminario Matematico della Università di Padova 80 (1988): 55-63. <http://eudml.org/doc/108126>.

@article{Dyson1988,
author = {Dyson, Janet, Villella-Bressan, Rosanna},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {semigroup operators; delay equation; Banach space},
language = {eng},
pages = {55-63},
publisher = {Seminario Matematico of the University of Padua},
title = {On the propagation of solutions of a Delay equation},
url = {http://eudml.org/doc/108126},
volume = {80},
year = {1988},
}

TY - JOUR
AU - Dyson, Janet
AU - Villella-Bressan, Rosanna
TI - On the propagation of solutions of a Delay equation
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 80
SP - 55
EP - 63
LA - eng
KW - semigroup operators; delay equation; Banach space
UR - http://eudml.org/doc/108126
ER -

References

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  1. [1] O. Dieckmann, Perturbed dual semigroups and delay equations, Centrum voor wiskunde en informatica, Amsterdam, Report AM-R8604, 1986. 
  2. [2] J. Dyson - R. Villella-Bressan, Semigroups of translations associated with functional and functional differential equations, Proc. Royal Society of Edinburgh, 82-A (1979), pp. 171-188. Zbl0419.47032MR532900
  3. [3] W.E. Fitzgibbon, Semilinear functional differential equations in Banach spaces, J. Differential Equations, 29 (1978), pp. 1-14. Zbl0392.34041MR492663
  4. [4] R. Grimmer - M. Zeman, Wave propagation for linear integrodifferential equations in Banach spaces, J. Differential equation, 54 (1984), pp. 274-282. Zbl0544.45010MR757296
  5. [5] J. Hale, Theory of functional differential equations, Springer-Verlag, Berlin, 1977. Zbl0352.34001MR508721
  6. [6] F. Kappel - W. Shappacher, Nonlinear functional differential equations and abstract integral equations, Proc. Roy. Soc. Edinburgh, 84-A (1979), pp. 71-91. Zbl0455.34057MR549872
  7. [7] M. Reed, Abstract nonlinear wave equations, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1976. Zbl0317.35002MR605679
  8. [8] C.C. Travis - G.F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc., 200 (1974), pp. 395-418. Zbl0299.35085MR382808
  9. [9] G.F. Webb, Asymptotic stability for abstract nonlinear functional differential equations, Proc. Amer. Math. Soc., 54 (1976), pp. 225-230. Zbl0324.34079MR402237

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