A.M.Savchuk, A.A.Shkalikov, “Sturm-Liouville operators with distribution potentials”, Transactions of the Moscow Mathematical Society, 64 (2003), 143-192
A.M.Savchuk, A.A.Shkalikov, “On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces”, Mathematical Notes, 80:5 (2006), 814-832
A.M.Savchuk, A.A.Shkalikov, “Inverse problems for Sturm—Liouville operators with potentials in Sobolev spaces: Uniform stability”, Functional Analysis and its Applications, 44:4 (2010), 270-285
A.M.Savchuk, A.A.Shkalikov, “The Dirac operator with complex-valued potential”, Mathematical Notes, 96:5 (2014), 3-36
A. M. Savchuk, I. V. Sadovnichaya, “Operator group generated by a one-dimensional Dirac system”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 79–81; Dokl. Math., 108:3 (2023), 490–492
2021
2.
A. M. Savchuk, I. V. Sadovnichaya, “Equiconvergence of spectral decompositions for Sturm–Liouville operators with a distributional potential in scales of spaces”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 56–58; Dokl. Math., 103:1 (2021), 47–49
A. M. Savchuk, I. V. Sadovnichaya, “Spectral analysis of one-dimensional Dirac system with summable potential and Sturm–Liouville operator with distribution coefficients”, CMFD, 66:3 (2020), 373–530
A. M. Savchuk, A. A. Shkalikov, “Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients”, Mat. Sb., 211:11 (2020), 129–166; Sb. Math., 211:11 (2020), 1623–1659
A. M. Savchuk, I. V. Sadovnichaya, “On the existence of an operator group generated by the one-dimensional Dirac system”, Tr. Mosk. Mat. Obs., 80:2 (2019), 275–294; Trans. Moscow Math. Soc., 80 (2019), 235–250
A. M. Savchuk, “On the basis property of the system of eigenfunctions and associated functions
of a one-dimensional Dirac operator”, Izv. RAN. Ser. Mat., 82:2 (2018), 113–139; Izv. Math., 82:2 (2018), 351–376
A. M. Savchuk, “The Calderon–Zygmund operator and its relation to asymptotic estimates for ordinary differential operators”, CMFD, 63:4 (2017), 689–702
A. M. Savchuk, A. A. Shkalikov, “Spectral Properties of the Complex Airy Operator on the Half-Line”, Funktsional. Anal. i Prilozhen., 51:1 (2017), 82–98; Funct. Anal. Appl., 51:1 (2017), 66–79
A. S. Ivanov, A. M. Savchuk, “Trace of Order $(-1)$ for a String with Singular Weight”, Mat. Zametki, 102:2 (2017), 197–215; Math. Notes, 102:2 (2017), 164–180
A. M. Savchuk, “Reconstruction of the Potential of the Sturm–Liouville Operator from a Finite Set of Eigenvalues and Normalizing Constants”, Mat. Zametki, 99:5 (2016), 715–731; Math. Notes, 99:5 (2016), 715–728
A. M. Savchuk, I. V. Sadovnichaya, “The Riesz basis property with brackets for Dirac systems with summable potentials”, CMFD, 58 (2015), 128–152; Journal of Mathematical Sciences, 233:4 (2018), 514–540
T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, “Interpolation of Nonlinear Maps”, Mat. Zametki, 96:6 (2014), 896–904; Math. Notes, 96:6 (2014), 957–964
A. M. Savchuk, A. A. Shkalikov, “Uniform stability of the inverse Sturm–Liouville problem with respect to the spectral function in the scale of Sobolev spaces”, Trudy Mat. Inst. Steklova, 283 (2013), 188–203; Proc. Steklov Inst. Math., 283 (2013), 181–196
A. M. Savchuk, A. A. Shkalikov, “Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 34–53; Funct. Anal. Appl., 44:4 (2010), 270–285
A. M. Savchuk, A. A. Shkalikov, “On the Properties of Maps Connected with Inverse Sturm–Liouville Problems”, Trudy Mat. Inst. Steklova, 260 (2008), 227–247; Proc. Steklov Inst. Math., 260 (2008), 218–237
A. M. Savchuk, A. A. Shkalikov, “On the eigenvalues of the Sturm–Liouville operator with potentials from Sobolev spaces”, Mat. Zametki, 80:6 (2006), 864–884; Math. Notes, 80:6 (2006), 814–832
M. I. Neiman-Zade, A. M. Savchuk, “Schrödinger Operators with Singular Potentials”, Trudy Mat. Inst. Steklova, 236 (2002), 262–271; Proc. Steklov Inst. Math., 236 (2002), 250–259
A. M. Savchuk, A. A. Shkalikov, “Trace Formula for Sturm–Liouville Operators with Singular Potentials”, Mat. Zametki, 69:3 (2001), 427–442; Math. Notes, 69:3 (2001), 387–400
A. M. Savchuk, “On the Eigenvalues and Eigenfunctions of the Sturm–Liouville Operator with a Singular Potential”, Mat. Zametki, 69:2 (2001), 277–285; Math. Notes, 69:2 (2001), 245–252
A. M. Savchuk, “First-order regularised trace of the Sturm–Liouville operator with $\delta$-potential”, Uspekhi Mat. Nauk, 55:6(336) (2000), 155–156; Russian Math. Surveys, 55:6 (2000), 1168–1169
A. M. Savchuk, A. A. Shkalikov, “Sturm–Liouville operators with singular potentials”, Mat. Zametki, 66:6 (1999), 897–912; Math. Notes, 66:6 (1999), 741–753
A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Tr. Mosk. Mat. Obs., 80:2 (2019), 133–145; Trans. Moscow Math. Soc., 80 (2019), 113–122
О вкладе М.В. Келдыша в теорию операторов A. M. Savchuk VII Internet video conference "Day of Mathematics and Mechanics" devoted to the 105th anniversary of M.V. Keldysh September 18, 2017 11:50
Система Дирака с негладким потенциалом A. M. Savchuk, A. A. Shkalikov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 27, 2015 16:40
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