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Online ISSN 1552-4485; Print ISSN 0033-569X
Functional differential equations of Peano-Baker type
Authors:
R. C. Allen Jr. and W. T. Kyner
Journal:
Quart. Appl. Math. 31 (1974), 417-428
MSC:
Primary 34K05; Secondary 45B05
DOI:
https://doi.org/10.1090/qam/450737
MathSciNet review:
450737
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Abstract | References | Similar Articles | Additional Information
Abstract: The application of the moment method to a class of Fredholm integral equations leads to the study of both an infinite system of ordinary differential equations and a functional differential equation. Sufficient conditions are given that the solution to a truncated system of differential equations approximates the solutions to the original problem. A numerical algorithm for constructing approximate solutions is discussed.
- Richard C. Allen Jr., On the numerical solution of a certain class of non-linear Cauchy problems arising from intergral equation theory, Computing (Arch. Elektron. Rechnen) 7 (1971), 13–16. MR 290604, DOI https://doi.org/10.1007/bf02279937
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
- G. M. Wing, On certain Fredholm integral equations reducible to initial value problems, SIAM Rev. 9 (1967), 655–670. MR 227718, DOI https://doi.org/10.1137/1009107
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Article copyright:
© Copyright 1974
American Mathematical Society