Explicit solution of the mixed problem in anisotropic semispace with brightly expressed vertical permeability for Barenblatt–Zheltov–Kochina equation

For Barenblatt–Zheltov–Kochina model presentation of filtering of liquids in fissured-porous rocks the explicit solution of the mixed problem in anisotropic semispace with brightly expressed vertical permeability is found by reduction of the considered problem of filtering to the solution of the abstract initial boundary-value problem in Banach space.