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Singular perturbations of integral equations with degenerate kernels

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Abstract

Singularly perturbed Fredholm equations of the second kind are investigated. The kernels are allowed to have a jump discontinuity which vanishes at a point along the diagonal. Sufficient conditions for existence and uniqueness of sohtions are found and the behavior of the solutions is studied.

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Authors and Affiliations

  1. Department of Mathematics, California State University, Northridge, 91330, Northridge, Ca.

    Carol Ann Shubin

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  1. Carol Ann Shubin
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Shubin, C.A. Singular perturbations of integral equations with degenerate kernels. Integr equ oper theory 24, 328–351 (1996). https://doi.org/10.1007/BF01204605

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