Approximate solution of a dominant singular integral equation with conjugation

D.  Pylak; P.  Wójcik

doi:10.37863/umzh.v73i9.758

D. Pylak Lublin Univ. Technology, Poland
P. Wójcik Lublin Univ. Technology, Poland

DOI: https://doi.org/10.37863/umzh.v73i9.758

Ключові слова: singular integral equations Cauchy kernel successive approximation

Анотація

УДК 517.5

Наближений розв’язок домiнантного сингулярного iнтегрального рiвняння зi спряженням

У цій роботі за допомогою методу послідовних наближень та поліномів Фабера отримано наближений розв'язок домінантного сингулярного інтегрального рівняння з неперервними за Гельдером коефіцієнтами та спряженням на кривій Ляпунова.
Крім того, запропоновано умови збіжності у просторах $L_2$ та $H(α).$

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