Voir la notice de l'article provenant de la source Math-Net.Ru
[1] Il'in V. A., “The uniform equiconvergence of expansions in the eigen- and associated functions of a nonselfadjoint ordinary differential operator and in a trigonometric Fourier series”, Soviet Math. Dokl., 223:3 (1975), 548–551 | MR | Zbl
[2] Lomov I. S., “A Moiseev mean formula for even-order differential operators with nonsmooth coefficints”, Differential Equations, 35:8 (1999), 1054–1066 | MR | Zbl
[3] Il'in V. A., Joo I., “Estimation of the difference of partial sums of expansions corresponding to two arbitrary nonnegative selfadjoint extensions of two operators of Sturm–Liouville”, Differential Equations, 15:7 (1979), 1175–1193 | MR | Zbl
[4] Volkov V. E., Joo I., “Assessment of a difference of the partial sums spectral the decomposition answering to two operators of Schrodinger”, Differential Equations, 22:11 (1986), 1865–1876 | MR | Zbl
[5] Il'in V. A., “Equiconvergence with a trigonometric series of expansions in root functions of the Schrodinger operator with an arbitrary summable complex-valued potential”, Differential Equations, 27:4 (1991), 577–597 | MR | Zbl
[6] Il'in V. A., “Pokomponentny equiconvergence with the trigonometrical series of decomposition on root vector functions of the operator Schrodinger with matrix non-Hermitian potential, which all elements only are summarized”, Differential Equations, 27:11 (1991), 1862–1879 | MR
[7] Il'in V. A., Spectral theory of differential operators. Selfadjoint differential operators, Nauka, M., 1991, 368 pp. (in Russian)
[8] Il'in V. A., Chosen works, v. 2, MAKS Press, M., 2008, 692 pp. (in Russian)
[9] Nikol'skaya E. I., “Difference assessment between the partial sums decomposition of absolutely continuous function on root functions, to the answering two one-dimensional operators of Schrodinger with the complex potentials from class ${\cal L}^1$ are summarized”, Differential Equations, 28:4 (1992), 598–612 | MR | Zbl
[10] Kurbanov V. M., “About the speed of equiconvergence of spectral decompositions”, Soviet Math. Dokl., 365:4 (1999), 444–449 | MR | Zbl
[11] Lomov I. S., “On speed of equiconvergence of Fourier series on eigenfunctions of operators of Storm–Liouville in the integral metrics”, Differential Equitions, 18:9 (1982), 1480–1493 | MR | Zbl
[12] Lomov I. S., “A coefficient condition for the convergence of biorthogonal expansions of functions in ${\cal L}^p (0,1)$”, Differential Equitions, 34:1 (1998), 29–38 | MR | Zbl
[13] Lomov I. S., “The influence of the integrability degree of coefficients of differential operators on the equiconvergence rate of spectral expansions, I”, Differential Equations, 34:5 (1998), 621–630 | DOI | MR | Zbl
[14] Lomov I. S., “The influence of the integrability degree of coefficients of differential operators on the equiconvergence rate of spectral expansions, II”, Differential Equations, 34:8 (1998), 1070–1081 | DOI | MR | Zbl
[15] Lomov I. S., “The local convergence of biorthogonal series related to differential operators with nonsmooth coefficients, I”, Differential Equations, 37:3 (2001), 351–366 | DOI | MR | Zbl
[16] Lomov I. S., “The local convergence of biorthogonal series related to differential operators with nonsmooth coefficients, II”, Differential Equations, 37:5 (2001), 680–694 | DOI | MR | Zbl
[17] Lomov I. S., “Convergence of biorthogonal expansions of functions on an interval for higher-order differential operators”, Differential Equations, 41:5 (2005), 660–676 | DOI | MR | Zbl
[18] Afonin S. B., Lomov I. S., “On the convergence of biorthogonal series related to odd-order differential operators with nonsmooth coefficients”, Doklady Math., 81:2 (2010), 190–192 | DOI | MR | Zbl
[19] Lomov I. S., “Dependence of estimates of the local convergence rate of special expansions on the distance from an interior compact set to the boundary”, Differential Equations, 46:10 (2010), 1415–1426 | DOI | MR | Zbl
[20] Lomov I. S., “Loaded differential operators: convergence of spectral expansions”, Differential Equations, 50:8 (2014), 1070–1079 | DOI | DOI | MR | Zbl
[21] Nakhushev A. M., The loaded equations and their application, Nauka, M., 2012, 232 pp. (in Russian)
[22] Lomov I. S., Chernov V. V., “Study of spectral properties of a loaded second-order differential operator”, Differential Equitions, 51:7 (2015), 857–861 | DOI | DOI | MR | Zbl
[23] Lomov I. S., Markov A. S., “Estimates of the local convergence rate of spectral expansions for even-order differential operators”, Differential Equitions, 49:15 (2013), 529–535 | DOI | MR | MR | Zbl
[24] Gomilko A. M., Radzievskyi G. V., “Equiconvergence of ranks on eigenfunctions of the ordinary functional and differential operators”, Soviet Math. Dokl., 316:2 (1991), 265–270 | Zbl
[25] Khromov A. P., “The spectral analysis of differential operators on final interval”, Differential Equations, 31:10 (1995), 1691–1696 | MR | Zbl
[26] Minkin A. M., “Equiconvergence theorems for differential operators”, J. Math. Sci., 96:6 (1999), 3631–3715 | DOI | MR | Zbl
[27] Sadovnichaya I. V., “Equiconvergence theorems in Sobolev and Hölder spaces of eigenfunction expansions for Sturm–Liouville operators with singular potentials”, Doklady Math., 83:2 (2011), 169–170 | DOI | MR | Zbl
[28] Khromov A. P., “Theorems of equiconvergence for integro-differential and integral operators”, Sb. Math., 114 (156):3 (1981), 378–405 | MR
[29] Burlutskaya M. S., Khromov A. P., “Rezolventny approach in the Fourier method”, Doklady Math., 90:2 (2014), 545–548 | DOI | DOI | Zbl
[30] Khromov A. P., “About the classical solution of the mixed problem for the wave equation”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 15:1 (2015), 56–66 (in Russian) | Zbl