Article ID Journal Published Year Pages File Type
4624212 Journal of Mathematical Analysis and Applications 2006 17 Pages PDF
Abstract

We study singularly perturbed Fredholm equations of the second kind. We give sufficient conditions for existence and uniqueness of solutions and describe the asymptotic behavior of the solutions. We examine the relationship between the solutions of the perturbed and unperturbed equations, exhibiting the degeneration of the boundary layer to delta functions. The results are applied to several examples including the Volterra equations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis