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

Authors

  • G. Ya. Popov

Abstract

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.

Published

25.12.2002

Issue

Section

Research articles

How to Cite

Popov, G. Ya. “New Integral Transformations and Their Applications to Some Boundary-Value Problems of Mathematical Physics”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 12, Dec. 2002, pp. 1642-5, https://umj.imath.kiev.ua/index.php/umj/article/view/4203.