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Asymptotic behavior of solutions of constrained systems of integral equations. (English) Zbl 0840.45008

The author considers a system composed of a singularly perturbed Volterra integral equation of the 2nd kind and of an algebraic equation. Under assumptions that are common in the study of singular perturbation problems, the existence and uniqueness of a solution are investigated.

MSC:

45G15 Systems of nonlinear integral equations
45M05 Asymptotics of solutions to integral equations
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