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Analysis via integral equations of an identification problem for delay differential equations. (English) Zbl 1080.65121
The paper is concerned with the problem of identifying the initial function for a delay differential equation based on given data. The fundamental idea is that all details of the equation (parameter values etc) are known, and the aim is to choose the initial function. In this paper, the authors show that the optimal initial function satisfies an integral equation of Fredholm type which can be solved using an iterative approach. They give details of the convergence properties of the iteration.

MSC:
 65R20 Numerical methods for integral equations 45Q05 Inverse problems for integral equations 34K28 Numerical approximation of solutions of functional-differential equations (MSC2010) 34K29 Inverse problems for functional-differential equations
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