New Integral Transformations and Their Applications to Some Boundary-Value Problems of Mathematical Physics

We construct new integral transformations and present their applications to the construction of exact solutions of some boundary-value problems of mathematical physics. We solve the problem of diffraction of acoustic waves in a circular cone truncated by two spherical surfaces. We also solve the ini...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2002
Автори: Popov, G. Ya., Попов, Г. Я.
Формат: Стаття
Мова:Російська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/4203
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:We construct new integral transformations and present their applications to the construction of exact solutions of some boundary-value problems of mathematical physics. We solve the problem of diffraction of acoustic waves in a circular cone truncated by two spherical surfaces. We also solve the initial boundary-value problem of the theory of heat conduction for the same truncated cone under nonzero initial conditions.