A. G. Eliseev, D. A. Shaposhnikova, “Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order”, Mat. Zametki, 2017, Volume 101, Issue 5,Pages <nobr>716

Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order

A. G. Eliseev, D. A. Shaposhnikova

National Research University "Moscow Power Engineering Institute"

Abstract: A method of constructing an asymptotic solution of a singularly perturbed Volterra integral equation in the case of a spectral singularity of first order is proposed.

Keywords: asymptotic integration, singular perturbation, Volterra integral equation of the second kind.

UDC: 517.95

Received: 19.08.2016

DOI: 10.4213/mzm11217