Some Fredholm equations with boundary layer resonance |
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Authors: | M Georgiou W E Olmstead |
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Institution: | (1) Dept of Engineering Sciences and Applied Mathematics, Northwestern University, 60208 Evanston, IL, USA |
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Abstract: | Certain singularly perturbed differential equations which exhibit boundary layer resonance are difficult to solve by the application of standard asymptotic methods. After reformulation as a singularly perturbed integral equation and treatment by a recently developed asymptotic methodology, the desired solution is obtained in a straightforward manner. |
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