Singularly perturbed integral equations |
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Authors: | Carol Shubin |
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Affiliation: | Department of Mathematics, California State University, Northridge 91330-8313, CA, USA |
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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. |
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Keywords: | Singular perturbation Asymptotic expansion |
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