Functional differential equations of Peano-Baker type

R. C. Allen, W. T. Kyner
1974 Quarterly of Applied Mathematics  
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.
doi:10.1090/qam/450737 fatcat:we4dajtqh5abjdsanrnfmefgni