Singular Perturbation Analysis of Integral Equations

Abstract

A study is given of certain linear singularly perturbed Volterra or Fredholm vector integral equations, including also certain integrodifferential equations. Several examples are discussed that illustrate the rich diversity of (in some cases surprising) behavior that is possible for such equations. A special class of equations is studied further, using a version of the additive multivariable technique, and the results are justified by appropriate error estimates.