Adjoint semigroup theory for a Volterra integrodifferential system
HTML articles powered by AMS MathViewer
- by J. A. Burns and T. L. Herdman PDF
- Bull. Amer. Math. Soc. 81 (1975), 1099-1102
References
- H. T. Banks and J. A. Burns, An abstract framework for approximate solutions to optimal control problems governed by hereditary systems, International Conference on Differential Equations (Proc., Univ. Southern California, Los Angeles, Calif., 1974) Academic Press, New York, 1975, pp. 10–25. MR 0451073
- Viorel Barbu and Stanley I. Grossman, Asymptotic behavior of linear integrodifferential systems, Trans. Amer. Math. Soc. 173 (1972), 277–288. MR 308712, DOI 10.1090/S0002-9947-1972-0308712-2
- J. A. Burns and T. L. Herdman, Adjoint semigroup theory for a class of functional differential equations, SIAM J. Math. Anal. 7 (1976), no. 5, 729–745. MR 417528, DOI 10.1137/0507056
- Ju. G. Borisovič and A. S. Turbabin, On the Cauchy problem for linear inhomogeneous differential equations with retarded argument, Dokl. Akad. Nauk SSSR 185 (1969), 741–744 (Russian). MR 0247224
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- R. K. Miller, Linear Volterra integrodifferential equations as semigroups, Funkcial. Ekvac. 17 (1974), 39–55. MR 350511
- Richard K. Miller, Volterra integral equations in a Banach space, Funkcial. Ekvac. 18 (1975), no. 2, 163–193. MR 410312
Additional Information
- 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