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Estimate of boundary layer thickness for linear, singularly perturbed two-point boundary-value problems

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Abstract

In this note, the thickness of the boundary layers for linear, homogeneous, singularly perturbed first-order ordinary differential systems is considered. Inequalities concerning this thickness are derived. It is also remarked that the present analysis can be carried over to the nonhomogeneous case.

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References

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Communicated by S. M. Roberts

The authors wish to express their sincere thanks to Dr. S. M. Roberts for his comments and valuable suggestions.

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Singh, A., Kadalbajoo, M.K. Estimate of boundary layer thickness for linear, singularly perturbed two-point boundary-value problems. J Optim Theory Appl 63, 109–117 (1989). https://doi.org/10.1007/BF00940735

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