One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems

A recursive method for the investigation of the fundamental solution of the Cauchy problem for parabolic Shilov systems with time-dependent coefficients is proposed. It is based on the general formula for the solution of linear inhomogeneous systems of differential equations of the first order and d...

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Збережено в:
Бібліографічні деталі
Дата:2018
Автори: Litovchenko, V. A., Літовченко, В. А.
Формат: Стаття
Мова:Українська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/1596
Теги: Додати тег
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Резюме:A recursive method for the investigation of the fundamental solution of the Cauchy problem for parabolic Shilov systems with time-dependent coefficients is proposed. It is based on the general formula for the solution of linear inhomogeneous systems of differential equations of the first order and does not require the use of the genus of the analyzed system.