**
A.R.Abdullaev and I.M.Plaksina ** An estimate of the spectral radius of a certain singular integral operator | 1 |

**
O.G.Avsyankin ** Projection method for integral operators with homogeneous kernels perturbed by
one-sided multiplicative shifts | 7 |

**
S.S.Volosivets ** Hardy–Goldberg operator and its conjugate one in Hardy spaces and *BMO*(**T**) | 14 |

**
I.Yu.Vygodchikova ** On approximation of multivalued mapping by algebraic polynomial with constraints | 25 |

**
V.V.Gorbatsevich ** On the maximal finite-dimensional Lie algebras with given nilradical | 29 |

**
S.I.Dudov and E.A.Meshcheryakova ** On asphericity of convex bodies | 36 |

**
A.G.Egorov and A.A.Salamatin ** Optimization problems in a theory of supercritical fluid extraction of oil | 48 |

**
B.A.Kats, S.R.Mironova, and A.Yu.Pogodina ** A jump problem on a contour with limit continuum | 57 |

Brief communications |

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D.A.Bredikhin ** On identities of relation algebras with domino operations | 62 |

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A.V.Lapin and A.D.Romanenko ** Solving the problem of Bingham fluid flow in cylindrical pipeline | 67 |