This paper deals with the problem of establishing the equivalence of a family of integral equations of Fredholm type with kernels that depend on a parameter λ and a related Cauchy system of integrodifferential equations. We also show how the Cauchy problem can be given an abstract formulation as an initial value problem in a complex Banach space.
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This research was supported by the University of Nevada at Las Vegas, Research Grant No. 4503.
Communicated by R. E. Kalaba
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Golberg, M.A. Initial value methods in the theory of Fredholm integral equations. J Optim Theory Appl 9, 112–119 (1972). https://doi.org/10.1007/BF00932348
- Banach Space
- Integral Equation
- Cauchy Problem
- Abstract Formulation
- Fredholm Integral Equation