What is it about?

Singularly perturbed equations can be conditionally divided into two classes. The first class can include singularly perturbed equations with a small parameter at the highest derivative or equations of the Pradtl-Tikhonov type. The second class includes perturbed Lighthill-type equations.

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Why is it important?

These are such perturbed equations that when the value of a small parameter is zero, the highest order of the derivative retains but contains a special point (in this paper – at the left end of the domain of definition).

Perspectives

Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations. This article studies the asymptotic behavior of the solution of these equations up to and including a singular point and describes the method of uniformization.

Жылдызбек Туркманов

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This page is a summary of: Asymptotic expansions of solutions of singularly perturbed ordinary differential equations with a singular point, January 2024, American Institute of Physics,
DOI: 10.1063/5.0195606.
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