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 A method of smooth approximation in the theory of necessary optimality conditions for differential inclusionsS. M. Aseev 3 Cubature formulae for Besov classesV. V. Dubinin 27 Solubility of non-linear elliptic systems in spaces that are weaker than the natural energy spaceE. A. Kalita 53 Additive congruencesA. A. Karatsuba 81 On functions with bounded $\mathbf n$th differencesYu. V. Kryakin 95 Approximating one class of finitely differentiable functions by anotherS. N. Kudryavtsev 111 Classification of $G$-varieties of complexity 1D. A. Timashev 127 Properties of functions in Orlicz spaces that depend on the geometry of their spectraHa Huy Bang 163 Letter to the editorsE. N. Domanskii 199