Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

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
DOI: https://doi.org/10.1090/S0002-9904-1973-13189-1
MathSciNet review: 0313731
Full-text PDF

References | Similar Articles | Additional Information

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. (to appear). MR 394080
  • 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 38 #2556. MR 234238
  • 3. R. K. Miller, J. A. Nohel and J. S. W. Wong, Perturbations of Volterra integral equations, J. Math. Anal. Appl. 25 (1969), 676-690. MR 39 # 1920. MR 240573
  • 4. R. K. Miller, On the linearization of Volterra integral equations, J. Math. Anal. Appl. 23 (1968), 198-208. MR 230070
  • 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 328520
  • 6. E. Hille and R. S. Phillips, Functional analysis and semi-groups, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc. Providence, R. I., 1957. MR 19, 664. MR 89373
  • 7. E. Hille, Lectures on ordinary differential equations, Addison-Wesley, Reading, Mass., 1969. MR 40 #2939. MR 249698
  • 8. E. Hille, Pathology of infinite systems of linear first order differential equations with constant coefficients, Ann. Mat. Pura Appl. (4) 55 (1961), 133-148. MR 24 # A3383. MR 133552
  • 9. E. Titchmarsh, Theory of functions, Oxford Univ. Press, London, 1939.

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 45D05, 45M10, 45A02, 45A05, 45E99, 45F05, 45G05, 45G99, 45J05

Retrieve articles in all journals with MSC (1970): 45D05, 45M10, 45A02, 45A05, 45E99, 45F05, 45G05, 45G99, 45J05


Additional Information

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

American Mathematical Society