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A representation formula for linear Volterra integral equations


Authors: J. M. Bownds and J. M. Cushing
Journal: Bull. Amer. Math. Soc. 79 (1973), 532-536
MSC (1970): Primary 45D05, 45M10; Secondary 45A02, 45A05, 45E99, 45F05, 45G05, 45G99, 45J05
MathSciNet review: 0313731
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References [Enhancements On Off] (What's this?)

  • 1. J. M. Bownds and J. M. Cushing, Some stability theorems for systems of Volterra integral equations, Applicable Anal. 5 (1975), no. 1, 65–77. MR 0394080
  • 2. R. K. Miller, J. A. Nohel, and J. S. W. Wong, A stability theorem for nonlinear mixed integral equations, J. Math. Anal. Appl. 25 (1969), 446–449. MR 0234238
  • 3. R. K. Miller, J. A. Nohel, and J. S. W. Wong, Perturbations of Volterra integral equations, J. Math. Anal. Appl. 25 (1969), 676–691. MR 0240573
  • 4. R. K. Miller, On the linearization of Volterra integral equations, J. Math. Anal. Appl. 23 (1968), 198–208. MR 0230070
  • 5. J. M. Bownds and J. M. Cushing, Some stability criteria for linear systems of Volterra integral equations, Funkcial. Ekvac. 15 (1972), 101–117. MR 0328520
  • 6. 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
  • 7. Einar Hille, Lectures on ordinary differential equations, Addison-Wesley Publ. Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0249698
  • 8. Einar Hille, Pathology of infinite systems of linear first order differential equations with constant coefficients, Ann. Mat. Pura Appl. (4) 55 (1961), 133–148. MR 0133552
  • 9. E. Titchmarsh, Theory of functions, Oxford Univ. Press, London, 1939.

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DOI: https://doi.org/10.1090/S0002-9904-1973-13189-1