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 Global bifurcation of solutions of certain nonlinear eigenvalue problems for ordinary differential equations of fourth orderZ. S. Aliyev 3 On the uniqueness of series in the Franklin systemG. G. Gevorkyan 30 Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6A. V. Grishin, S. V. Pchelintsev 54 Volume formulae for fibred cone-manifolds with spherical geometryA. A. Kolpakov 73 Bifurcations of resonance oscillations and optimization of the trigonometric impulse by the nonsymmetry coefficientD. V. Kostin 90 On nonequivalence of the $\mathrm{C}$- and $\mathrm{QC}$-norms in the space of trigonometric polynomialsA. O. Radomskii 110 A sharp lower bound for the sum of a sine series with convex coefficientsA. P. Solodov 124