Holomorphic Regularization of Singularly PerturbedIntegro-Differential Equations
S.A. Lomov’s regularization method has long been used to solve integro-differential singularly perturbed equations, which are very important from the viewpoint of applications. In this method, the series in powers of a small parameter representing the solutions of these equations converge asymptotic...
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| Published in | Differential equations Vol. 60; no. 1; pp. 1 - 11 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer Nature B.V
01.01.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0012-2661 1608-3083 |
| DOI | 10.1134/S0012266124010014 |
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| Abstract | S.A. Lomov’s regularization method has long been used to solve integro-differential singularly perturbed equations, which are very important from the viewpoint of applications. In this method, the series in powers of a small parameter representing the solutions of these equations converge asymptotically. However, in accordance with the main concept of the method, to construct a general singular perturbation theory one must indicate conditions for the ordinary convergence of these series. This is the subject of the present paper. |
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| AbstractList | S.A. Lomov’s regularization method has long been used to solve integro-differential singularly perturbed equations, which are very important from the viewpoint of applications. In this method, the series in powers of a small parameter representing the solutions of these equations converge asymptotically. However, in accordance with the main concept of the method, to construct a general singular perturbation theory one must indicate conditions for the ordinary convergence of these series. This is the subject of the present paper. |
| Author | Kachalov, V I Besov, V S |
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| Copyright | Pleiades Publishing, Ltd. 2024. |
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| DOI | 10.1134/S0012266124010014 |
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| SubjectTerms | Analytic functions Convergence Differential equations Mathematical analysis Perturbation theory Regularization Singular perturbation |
| Title | Holomorphic Regularization of Singularly PerturbedIntegro-Differential Equations |
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