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

Yan, Xiaopu

Differ. Integral Equ. 9, No. 2, 381-396 (1996).

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.

Reviewer: E.Hairer (Genève)

MSC:

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

Keywords:

asymptotic behavior; singular perturbations; differential-algebraic equations of index 1; system; Volterra integral equation; algebraic equation