A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter

M. Kh. Ruziev

doi:10.4208/jpde.v31.n3.2

A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter

Authors

M. Kh. Ruziev Institute of Mathematics, Academy of Science of the Republic of Uzbekistan, Mirzo Ulugbek str. 81, 100170 Tashkent, Uzbekistan

DOI:

https://doi.org/10.4208/jpde.v31.n3.2

Keywords:

Half-band;Hankel transformation;series;the Fourier method;uniqueness;existence

Abstract

In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of separation of variables, the solution of the Dirichlet problem is presented in the explicit form.

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Published

2018-09-20

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Issue

Vol. 31 No. 3 (2018)

Section

Articles

How to Cite

A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter. (2018). Journal of Partial Differential Equations, 31(3), 214-223. https://doi.org/10.4208/jpde.v31.n3.2