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Adjoint semigroup theory for a Volterra integrodifferential system


Authors: J. A. Burns and T. L. Herdman
Journal: Bull. Amer. Math. Soc. 81 (1975), 1099-1102
MSC (1970): Primary 45A05, 45D05
DOI: https://doi.org/10.1090/S0002-9904-1975-13932-2
MathSciNet review: 0387999
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  • 2. V. Barbu and S. I. Grossman, Asymptotic behavior of linear integrodifferential systems, Trans. Amer. Math. Soc. 173 (1972), 277-288. MR 46 #7826. MR 308712
  • 3. J. A. Burns and T. L. Herdman, Adjoint semigroup theory for a class of functional differential equations, Siam. J. Math. Anal. (to appear). MR 417528
  • 4. Ju. G. Borisovic and A. S. Turbabin, On the Cauchy problem for linear nonhomogeneous differential equations with retarded argument, Dokl. Akad. Nauk SSSR 185 (1969), 741-744 = Soviet Math. Dokl. 10 (1969), 401-405. MR 40 #493. MR 247224
  • 5. E. Hille and R. S. Phillips, Functional analysis and semigroups, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc. Providence, R. I., 1957. MR 19, 664. MR 89373
  • 6. R. K. Miller, Linear Volterra integrodifferential equations as semigroups, Funkcial. Ekvac. 17 (1974), 39-55. MR 350511
  • 7. R. K. Miller, Volterra integral equations in a Banach space Funkcial. Ekvac. (to appear). MR 410312

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DOI: https://doi.org/10.1090/S0002-9904-1975-13932-2

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