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Asymptotic solution of some singularly perturbed Fredholm integral equations

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Abstract

A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.

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Olmstead, W.E., Gautesen, A.K. Asymptotic solution of some singularly perturbed Fredholm integral equations. Z. angew. Math. Phys. 40, 230–244 (1989). https://doi.org/10.1007/BF00945000

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  • DOI: https://doi.org/10.1007/BF00945000

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