On some integral transformations and their application to the solution of boundary-value problems in mathematical physics

被引：0

作者：

Popov G.Ya. ^{[1
]}

机构：

[1] Institute of Mathematics, Economics, and Mechanics, Odessa University, Odessa

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 6期

关键词：

Differential Equation; Heat Conduction; Mathematical Physic; Arbitrary Function; Spherical Surface;

D O I：

10.1023/A:1013304002593

中图分类号：

学科分类号：

摘要：

We obtain a formula for the expansion of an arbitrary function in a series in the eigenfunctions of the Sturm-Liouville boundary-value problem for the differential equation of cone functions. On the basis of this result, we derive a series of integral transformations (including well-known ones) and inversion formulas for them. We apply these formulas to the solution of initial boundary-value problems in the theory of heat conduction for circular hollow cones truncated by spherical surfaces. © 2001 Plenum Publishing Corporation.

引用

页码：951 / 964

页数：13

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