| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2024 |
| 1. |
A. A. Vladimirov, A. A. Shkalikov, “Oscillatory properties of selfadjoint boundary value problems of the fourth order”, St. Petersburg Math. J., 35:1 (2024), 83–100   |
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| 2026 |
| 2. |
A. A. Vladimirov, E. S. Karulina, “On an a priori majorant of the least eigenvalues of the Sturm–Liouville problem”, J. Math. Sci. (N. Y.), 296:6 (2026), 752–754 |
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| 2021 |
| 3. |
A. A. Vladimirov, A. A. Shkalikov, “On oscillation properties of self-adjoint boundary value problems of fourth order”, Dokl. Math., 103:1 (2021), 5–9    |
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| 2020 |
| 4. |
A. A. Vladimirov, “Variational Principles for Self-Adjoint Hamiltonian Systems”, Math. Notes, 107:4 (2020), 687–690   |
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| 2019 |
| 5. |
A. A. Vladimirov, E. S. Karulina, “Oscillation Properties of a Multipoint Fourth-Order Boundary-Value Problem with Spectral Parameter in the Boundary Condition”, Math. Notes, 106:6 (2019), 899–903 |
| 6. |
A. A. Vladimirov, “On a class of singular Sturm–Liouville problems”, Trans. Moscow Math. Soc., 80 (2019), 211–219 |
| 7. |
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)”, Trans. Moscow Math. Soc., 80 (2019), 113–122 |
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| 2017 |
| 8. |
A. A. Vladimirov, “Representation Theorems and Variational Principles for Self-Adjoint Operator Matrices”, Math. Notes, 101:4 (2017), 619–630 |
| 9. |
A. A. Vladimirov, “Majorants for eigenvalues of Sturm-Liouville problems with potentials lying in balls of weighted spaces”, Sb. Math., 208:9 (2017), 1298–1311  |
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| 2016 |
| 10. |
A. A. Vladimirov, “On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients”, Math. Notes, 100:6 (2016), 790–795 |
| 11. |
A. A. Vladimirov, “Method of oscillation and spectral problem for four-order differential operator with self-similar weight”, St. Petersburg Math. J., 27:2 (2016), 237–244 |
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| 2015 |
| 12. |
A. A. Vladimirov, “Some remarks on integral parameters of Wiener process”, Dal'nevost. Mat. Zh., 15:2 (2015), 156–165 |
| 13. |
A. A. Vladimirov, “Remarks on Minorants of Laplacians on a Geometric Graph”, Math. Notes, 98:3 (2015), 519–521 |
| 14. |
A. A. Vladimirov, E. S. Karulina, “A Priori Lower Bound for the Minimal Eigenvalue of a Sturm–Liouville Problem with Boundary Conditions of the Second Type”, Math. Notes, 97:6 (2015), 846–853 |
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| 2013 |
| 15. |
A. A. Vladimirov, I. A. Sheipak, “On the Neumann Problem for the Sturm–Liouville Equation with Cantor-Type Self-Similar Weight”, Funct. Anal. Appl., 47:4 (2013), 261–270 |
| 16. |
J. Ben Amara, A. A. Vladimirov, A. A. Shkalikov, “Spectral and Oscillatory Properties of a Linear Pencil of Fourth-Order Differential Operators”, Math. Notes, 94:1 (2013), 49–59 |
| 17. |
E. S. Karulina, A. A. Vladimirov, “The Sturm–Liouville problem with singular potential and the extrema of the first eigenvalue”, Tatra Mountains Mathematical Publications, 54 (2013), 101–118
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| 18. |
A. A. Vladimirov, I. A. Shejpak, “Eigenvalue asymptotics of the problem of high odd order with dicrete self-similar weight”, St. Petersburg Math. J., 24:2 (2013), 263–273 |
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| 2014 |
| 19. |
A. A. Vladimirov, “On some continuity theorem for constructive functions”, J. Math. Sci. (N. Y.), 199:1 (2014), 6–15 |
| 20. |
A. A. Vladimirov, “On a comparison of Darboux and Riemann integrals in constructive analysis”, J. Math. Sci. (N. Y.), 199:1 (2014), 1–5 |
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| 2010 |
| 21. |
A. A. Vladimirov, I. A. Sheipak, “Asymptotics of the Eigenvalues of the Sturm–Liouville Problem with Discrete Self-Similar Weight”, Math. Notes, 88:5 (2010), 637–646 |
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| 2009 |
| 22. |
A. A. Vladimirov, “On the oscillation theory of the Sturm–Liouville problem with singular coefficients”, Comput. Math. Math. Phys., 49:9 (2009), 1535–1546 |
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| 2007 |
| 23. |
A. A. Vladimirov, “Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight”, Comput. Math. Math. Phys., 47:8 (2007), 1295–1300 |
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| 2008 |
| 24. |
J. Ben Amara, A. A. Vladimirov, “On oscillation of eigenfunctions of a fourth-order problem with spectral parameter in boundary condition”, J. Math. Sci., 150:5 (2008), 2317–2325 |
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| 2006 |
| 25. |
A. A. Vladimirov, “On the accumulation of eigenvalues of operator pencils connected with the problem of vibrations in a viscoelastic rod”, Math. Notes, 79:3 (2006), 342–355 |
| 26. |
A. A. Vladimirov, I. A. Sheipak, “Self-similar functions in $L_2[0,1]$ and the Sturm–Liouville problem with singular indefinite weight”, Sb. Math., 197:11 (2006), 1569–1586 |
| 27. |
A. A. Vladimirov, I. A. Sheipak, “Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights”, Proc. Steklov Inst. Math., 255 (2006), 82–91 |
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| 2004 |
| 28. |
J. Ben Amara, A. A. Vladimirov, “On a fourth-order problem with spectral and physical parameters in the boundary condition”, Izv. Math., 68:4 (2004), 645–658 |
| 29. |
A. A. Vladimirov, “On the Convergence of Sequences of Ordinary Differential Equations”, Math. Notes, 75:6 (2004), 877–880 |
| 30. |
A. A. Vladimirov, I. A. Sheipak, “Spectral properties of a certain operator matrix”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 3, 23–30 |
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| 2003 |
| 31. |
A. A. Vladimirov, “Estimates of the Number of Eigenvalues of Self-Adjoint Operator Functions”, Math. Notes, 74:6 (2003), 794–802 |
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| 2002 |
| 32. |
A. A. Vladimirov, “Accumulation of eigenvalues of differential operator-valued functions”, Russian Math. Surveys, 57:1 (2002), 168–169 |
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| 2000 |
| 33. |
A. A. Vladimirov, “Spectrum of selfadjoint differential operators from a parametric family”, Math. Notes, 68:3 (2000), 405–408 |
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