Approximate solution of a dominant singular integral equation with conjugation
UDC 517.5In the present paper, the method of successive approximations and Faber polynomials are used to derive an approximate solution of a dominant singular integral equation with Holder continuous coefficients and conjugation on the Lyapunov curve. Moreover, conditions of convergence in the $L_2$...
Збережено в:
| Дата: | 2021 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2021
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/758 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.5In the present paper, the method of successive approximations and Faber polynomials are used to derive an approximate solution of a dominant singular integral equation with Holder continuous coefficients and conjugation on the Lyapunov curve. Moreover, conditions of convergence in the $L_2$ and $H(α)$ spaces are presented.
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| DOI: | 10.37863/umzh.v73i9.758 |