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 A. M. Il'in's eightieth birthday 3 Separation of an equation in the system of two second-order ordinary differential equationsYu. Yu. Bagderina 13 Perturbation of an elliptic operator by a narrow potential in an $n$-dimensional domainA. R. Bikmetov, R. R. Gadyl'shin 28 On the resolvents of periodic operators with distant perturbationsD. I. Borisov, A. M. Golovina 65 Periodic solutions of the telegraph equation with a discontinuous nonlinearityI. F. Galikhanov, V. N. Pavlenko 74 Phase shift for the common solution of the KdV and the fifth order differential equationR. N. Garifullin 80 Optimal boundary control in a small concave domainA. R. Danilin 87 Asymptotic analysis of the surfing acceleration modelL. A. Kalyakin 101 On solutions of the first-order PDE with a multidimensional symmetric integral and their modellingF. S. Nasyrov, E. V. Yureva 114 The “quantum” linearization of the Painlevé equations as a component of theier $L,A$ pairsB. I. Suleimanov 127