Huang, Guan; Kuksin, Sergei B. Averaging and mixing for stochastic perturbations of linear conservative systems. (English) Zbl 07794504 Russ. Math. Surv. 78, No. 4, 585-633 (2023) and Usp. Mat. Nauk 78, No. 4, 3-52 (2023). MSC: 34F05 34C29 34E10 34D10 34A30 PDFBibTeX XMLCite \textit{G. Huang} and \textit{S. B. Kuksin}, Russ. Math. Surv. 78, No. 4, 585--633 (2023; Zbl 07794504) Full Text: DOI arXiv MNR
Shkalikov, A. A. Perturbations of self-adjoint and normal operators with discrete spectrum. (English. Russian original) Zbl 1367.47021 Russ. Math. Surv. 71, No. 5, 907-964 (2016); translation from Usp. Mat. Nauk 71, No. 5, 113-174 (2016). MSC: 47A55 47B15 47B25 47-02 PDFBibTeX XMLCite \textit{A. A. Shkalikov}, Russ. Math. Surv. 71, No. 5, 907--964 (2016; Zbl 1367.47021); translation from Usp. Mat. Nauk 71, No. 5, 113--174 (2016) Full Text: DOI
Bourgain, J. Recent progress in quasi-periodic lattice Schrödinger operators and Hamiltonian partial differential equations. (English. Russian original) Zbl 1113.47021 Russ. Math. Surv. 59, No. 2, 231-246 (2004); translation from Usp. Mat. Nauk 59, No. 2, 37-52 (2004). Reviewer: Pavel Dyshlovenko (Ul’yanovsk) MSC: 47B39 37K55 35J10 35L70 35Q55 47B80 81Q10 82B44 PDFBibTeX XMLCite \textit{J. Bourgain}, Russ. Math. Surv. 59, No. 2, 231--246 (2003; Zbl 1113.47021); translation from Usp. Mat. Nauk 59, No. 2, 37--52 (2004) Full Text: DOI
Kokarev, G. Yu. On the compactness of the set of solutions of a quasilinearly perturbed equation of harmonic mappings. (English. Russian original) Zbl 1053.53042 Russ. Math. Surv. 57, No. 5, 995-996 (2002); translation from Usp. Mat. Nauk 57, No. 5, 155-156 (2002). Reviewer: Gabjin Yun (Yangin) MSC: 53C43 58E20 35J60 35B25 PDFBibTeX XMLCite \textit{G. Yu. Kokarev}, Russ. Math. Surv. 57, No. 5, 995--996 (2002; Zbl 1053.53042); translation from Usp. Mat. Nauk 57, No. 5, 155--156 (2002) Full Text: DOI
Savchenko, S. B. Stability of the upper bound of a spectrum under perturbations by diagonal matrices for a class of self-adjoint operators. (English. Russian original) Zbl 0931.47012 Russ. Math. Surv. 53, No. 2, 406-407 (1998); translation from Usp. Mat. Nauk 53, No. 2, 163-164 (1998). Reviewer: M.Perelmuter (Kyïv) MSC: 47A55 47B25 PDFBibTeX XMLCite \textit{S. B. Savchenko}, Russ. Math. Surv. 53, No. 2, 406--407 (1998; Zbl 0931.47012); translation from Usp. Mat. Nauk 53, No. 2, 163--164 (1998) Full Text: DOI
Stepin, S. A. Non-self-conjugate singular perturbations: A model of transition from a discrete to a continuous spectrum. (English. Russian original) Zbl 0856.34069 Russ. Math. Surv. 50, No. 6, 1311-1313 (1995); translation from Usp. Mat. Nauk 50, No. 6, 219-220 (1995). Reviewer: V.V.Strygin (Voronezh) MSC: 34E15 34A30 PDFBibTeX XMLCite \textit{S. A. Stepin}, Russ. Math. Surv. 50, No. 6, 1311--1313 (1995; Zbl 0856.34069); translation from Usp. Mat. Nauk 50, No. 6, 219--220 (1995) Full Text: DOI
Lomov, S. A.; Eliseev, A. G. Asymptotic integration of singularly perturbed problems. (English. Russian original) Zbl 0668.34058 Russ. Math. Surv. 43, No. 3, 1-63 (1988); translation from Usp. Mat. Nauk 43, No. 3(261), 3-53 (1988). MSC: 34E15 34G10 PDFBibTeX XMLCite \textit{S. A. Lomov} and \textit{A. G. Eliseev}, Russ. Math. Surv. 43, No. 3, 1--63 (1988; Zbl 0668.34058); translation from Usp. Mat. Nauk 43, No. 3(261), 3--53 (1988) Full Text: DOI
Skvortsov, M. Yu. The maximal attractor of the semigroup corresponding to the first boundary-value problem for a singularly perturbed parabolic equation. (English. Russian original) Zbl 0658.35007 Russ. Math. Surv. 42, No. 2, 299-300 (1987); translation from Usp. Mat. Nauk 42, No. 2(254), 243-244 (1987). Reviewer: Leonid Kaljakin (Ufa) MSC: 35B25 35K60 35B40 PDFBibTeX XMLCite \textit{M. Yu. Skvortsov}, Russ. Math. Surv. 42, No. 2, 299--300 (1987; Zbl 0658.35007); translation from Usp. Mat. Nauk 42, No. 2(254), 243--244 (1987) Full Text: DOI
Babin, A. V.; Vishik, M. I. Unstable invariant sets of semigroups of non-linear operators and their perturbations. (English. Russian original) Zbl 0624.47065 Russ. Math. Surv. 41, No. 4, 1-41 (1986); translation from Usp. Mat. Nauk 41, No. 4(250), 3-34 (1986). Reviewer: Tu Gui-Zhang MSC: 47H20 35B40 76D05 35Q30 35B20 47A55 PDFBibTeX XMLCite \textit{A. V. Babin} and \textit{M. I. Vishik}, Russ. Math. Surv. 41, No. 4, 1--41 (1986; Zbl 0624.47065); translation from Usp. Mat. Nauk 41, No. 4(250), 3--34 (1986) Full Text: DOI
Sevost’yanova, E. V. On properties of a perturbed elliptic operator with periodic coefficients. (English. Russian original) Zbl 0564.35031 Russ. Math. Surv. 38, No. 1, 217-218 (1983); translation from Usp. Mat. Nauk 38, No. 1(229), 191-197 (1983). Reviewer: B.Kvedaras MSC: 35J25 35P05 35B20 PDFBibTeX XMLCite \textit{E. V. Sevost'yanova}, Russ. Math. Surv. 38, No. 1, 217--218 (1983; Zbl 0564.35031); translation from Usp. Mat. Nauk 38, No. 1(229), 191--197 (1983) Full Text: DOI
Chulaevskij, V. A. On perturbations of a Schrödinger operator with periodic potential. (English) Zbl 0502.34017 Russ. Math. Surv. 36, No. 5, 143-144 (1981). MSC: 34L99 47A40 47E05 PDFBibTeX XMLCite \textit{V. A. Chulaevskij}, Russ. Math. Surv. 36, No. 5, 143--144 (1981; Zbl 0502.34017) Full Text: DOI
Kovalenko, V. F.; Semenov, Yu. A. Some problems on expansion in generalized eigenfunctions of the Schrödinger operator with strongly singular potentials. (English) Zbl 0413.47011 Russ. Math. Surv. 33, No. 4, 119-157 (1978). MSC: 47A40 47D03 47A70 35J10 PDFBibTeX XMLCite \textit{V. F. Kovalenko} and \textit{Yu. A. Semenov}, Russ. Math. Surv. 33, No. 4, 119--157 (1978; Zbl 0413.47011) Full Text: DOI