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Bulletin of the American Mathematical Society

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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
MathSciNet review: 0387999
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  • 1. H. T. Banks and J. A. Burns, An abstract framework for approximate solutions to optimal control problems governed by hereditary systems, Proc. Internat. Conf. on Differential Equations, Academic Press, New York, 1975. MR 451073
  • 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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