
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.
Systems of nonlinear integral equations, 34A05, 34E15, asymptotic behavior, algebraic equation, singular perturbations, system, differential-algebraic equations of index 1, Volterra integral equation, Asymptotics of solutions to integral equations
Systems of nonlinear integral equations, 34A05, 34E15, asymptotic behavior, algebraic equation, singular perturbations, system, differential-algebraic equations of index 1, Volterra integral equation, Asymptotics of solutions to integral equations
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