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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
Abdukhafiz A. Bobodzhanov, Burkhan T. Kalimbetov, Valeriy F. Safonov, “Algorithm of the regularization method for a singularly perturbed integro-differential equation with a rapidly decreasing kernel and rapidly oscillating inhomogeneity”, J. Sib. Fed. Univ. Math. Phys., 15:2 (2022), 216–225 |
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2019 |
2. |
A. A. Bobodzhanov, V. F. Safonov, “Asymptotic solutions of resonant nonlinear singularly perturbed problems in the case of intersection of eigenvalues of the limit operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173 (2019), 3–16 |
3. |
V. S. Abramov, A. A. Bobodzhanov, M. A. Bobodzhanova, “A method of normal forms for nonlinear singularly perturbed systems in case of intersection of eigenvalues of limit operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 8, 3–12 ; Russian Math. (Iz. VUZ), 63:8 (2019), 1–9 |
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2018 |
4. |
A. A. Bobodzhanov, V. F. Safonov, “A generalization of the regularization method to the singularly perturbed integro-differential equations with partial derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 9–22 ; Russian Math. (Iz. VUZ), 62:3 (2018), 6–17 |
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5. |
A. A. Bobodzhanov, V. F. Safonov, “Application of linear algebra for transforming
2-nd order PDEs to canonical forms”, Math. Ed., 2018, no. 1(85), 38–46 |
6. |
A. A. Bobodzhanov, V. F. Safonov, “Asymptotic integration of integridifferential equations with two independent variables”, Sib. Èlektron. Mat. Izv., 15 (2018), 186–197 |
7. |
A. A. Bobodzhanov, V. F. Safonov, “Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels”, Ufimsk. Mat. Zh., 10:2 (2018), 3–12 ; Ufa Math. J., 10:2 (2018), 3–13 |
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2017 |
8. |
A. A. Bobodzhanov, V. F. Safonov, “Regularized Asymptotic Solutions of the Initial Problem for the System of Integro-Partial Differential Equations”, Mat. Zametki, 102:1 (2017), 28–38 ; Math. Notes, 102:1 (2017), 22–30 |
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2016 |
9. |
A. A. Bobodzhanov, V. F. Safonov, “A problem with inverse time for a singularly perturbed integro-differential
equation with diagonal degeneration of the kernel of high order”, Izv. RAN. Ser. Mat., 80:2 (2016), 3–15 ; Izv. Math., 80:2 (2016), 285–298 |
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2015 |
10. |
A. A. Bobodzhanov, V. F. Safonov, “Asymptotic solutions of Fredholm integro-differential equations with rapidly changing kernels and irreversible limit operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 3–18 ; Russian Math. (Iz. VUZ), 59:10 (2015), 1–15 |
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2013 |
11. |
A. A. Bobodzhanov, V. F. Safonov, “The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels”, Mat. Sb., 204:7 (2013), 47–70 ; Sb. Math., 204:7 (2013), 979–1002 |
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2009 |
12. |
A. A. Bobodzhanov, V. F. Safonov, ““Splashes” in Fredholm Integro-Differential Equations with Rapidly Varying Kernels”, Mat. Zametki, 85:2 (2009), 163–179 ; Math. Notes, 85:2 (2009), 153–167 |
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2007 |
13. |
A. A. Bobodzhanov, V. F. Safonov, “Asymptotic analysis of integro-differential systems with an unstable spectral value of the integral operator's kernel”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 67–82 ; Comput. Math. Math. Phys., 47:1 (2007), 65–79 |
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2006 |
14. |
A. A. Bobodzhanov, V. F. Safonov, “Equations with an unstable spectral value of the kernel of an integral operator and contrast structures”, Differ. Uravn., 42:5 (2006), 660–673 ; Differ. Equ., 42:5 (2006), 705–719 |
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2005 |
15. |
A. A. Bobodzhanov, V. F. Safonov, “Singularly perturbed integro-differential systems with contrast structures”, Mat. Sb., 196:2 (2005), 29–56 ; Sb. Math., 196:2 (2005), 173–200 |
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2004 |
16. |
A. A. Bobodzhanov, V. F. Safonov, “Singularly Perturbed Integro-Differential Equations with Diagonal Degeneration of the Kernel in Reverse Time”, Differ. Uravn., 40:1 (2004), 112–119 ; Differ. Equ., 40:1 (2004), 120–127 |
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2002 |
17. |
A. A. Bobodzhanov, V. F. Safonov, “Singularly Perturbed Nonlinear Integrodifferential Systems with Fast Varying Kernels”, Mat. Zametki, 72:5 (2002), 654–664 ; Math. Notes, 72:5 (2002), 605–614 |
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2001 |
18. |
A. A. Bobodzhanov, V. F. Safonov, “Regularized Asymptotic Solutions of Singularly Perturbed Integral Systems with a Diagonal Degeneration of the Kernel”, Differ. Uravn., 37:10 (2001), 1330–1341 ; Differ. Equ., 37:10 (2001), 1399–1411 |
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19. |
A. A. Bobodzhanov, V. F. Safonov, “An Internal Transition Layer in a Linear Optimal Control Problem”, Differ. Uravn., 37:3 (2001), 310–322 ; Differ. Equ., 37:3 (2001), 332–345 |
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20. |
A. A. Bobodzhanov, “Asymptotic solutions of sigularly perturbed control systems with a quick changing dumping”, Matem. Mod., 13:11 (2001), 116–126 |
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21. |
A. A. Bobodzhanov, V. F. Safonov, “Volterra integral equations with rapidly varying kernels and their asymptotic integration”, Mat. Sb., 192:8 (2001), 53–78 ; Sb. Math., 192:8 (2001), 1139–1164 |
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1997 |
22. |
A. A. Bobodzhanov, O. D. Tuichiev, “A singularly perturbed integral equation with a degenerate kernel”, Differ. Uravn., 33:11 (1997), 1537–1542 ; Differ. Equ., 33:11 (1997), 1542–1546 |
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1984 |
23. |
S. A. Lomov, A. A. Bobodzhanov, “Asymptotic integration of problems with multiple points of the spectrum”, Differ. Uravn., 20:11 (1984), 2003–2006 |
24. |
A. A. Bobodzhanov, S. A. Lomov, “Asymptotic integration of the Cauchy problem with countably multiple spectrum”, Mat. Zametki, 35:1 (1984), 63–82 ; Math. Notes, 35:1 (1984), 35–47 |
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