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 Spectral theory of functions in studying partial differential operatorsA. G. Baskakov, E. E. Dikarev 3 On an interpolation problem in the class of functions of exponential type in a half-planeB. V. Vynnyt'skyi, V. L. Sharan, I. B. Sheparovych 19 Solvability of Cauchy problem for a system of first order quasilinear equations with right-hand sides $f_1={a_2}u(t,x) + {b_2}(t)v(t,x),$ $f_2={g_2}v(t,x)$M. V. Dontsova 26 On isomorphism of some functional spaces under action of integro-differential operatorsS. B. Klimentov 39 Conservation laws for Volterra chain with initial step-like conditionR. Ch. Kulaev, A. B. Shabat 61 On Bary–Stechkin theoremA. I. Rubinshtein 68 Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sidesS. N. Sidorov 72 Simple partially invariant solutionsS. V. Khabirov 87 Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variablesA. I. Bandura, O. B. Skaskiv 99 On zeros of polynomialSubhasis Das 113 Characteristic function and deficiency of algebroid functions on annuliAshok Rathod 120 A new subclass of univalent functionsGurmeet Singh, Gagandeep Singh, Gurcharanjit Singh 132