TY - JOUR T1 - A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter AU - Ruziev , M. Kh. JO - Journal of Partial Differential Equations VL - 3 SP - 214 EP - 223 PY - 2018 DA - 2018/09 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n3.2 UR - https://global-sci.org/intro/article_detail/jpde/12705.html KW - Half-band KW - Hankel transformation KW - series KW - the Fourier method KW - uniqueness KW - existence AB -

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.