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Potapov, Dmitriy Konstantinovich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 44

Number of views:
This page:3927
Abstract pages:16001
Full texts:3451
References:2356
Associate professor
Candidate of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person29906
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/685868

Publications in Math-Net.Ru Citations
2024
1. A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva, “Dynamics of relay systems with hysteresis and harmonic perturbation”, Eurasian Math. J., 15:2 (2024),  48–60  mathnet
2. V. N. Pavlenko, D. K. Potapov, “Semi-regular solutions of integral equations with discontinuous nonlinearities”, Mat. Zametki, 116:1 (2024),  109–121  mathnet; Math. Notes, 116:1 (2024), 93–103
3. O. V. Baskov, D. K. Potapov, “On Solutions of the One-Dimensional Goldshtik Problem”, Mat. Zametki, 115:1 (2024),  14–23  mathnet  mathscinet; Math. Notes, 115:1 (2024), 12–20  scopus
2023
4. D. K. Potapov, “A variational inequality for the Sturm–Liouville problem with discontinuous nonlinearity”, Sib. Èlektron. Mat. Izv., 20:2 (2023),  981–986  mathnet
5. O. V. Baskov, D. K. Potapov, “Control and perturbation in Sturm — Liouville's problem with discontinuous nonlinearity”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 19:2 (2023),  275–282  mathnet
6. O. V. Baskov, D. K. Potapov, “On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1296–1308  mathnet  elib; Comput. Math. Math. Phys., 63:8 (2023), 1424–1436 1
2022
7. V. N. Pavlenko, D. K. Potapov, “One class of quasilinear elliptic type equations with discontinuous nonlinearities”, Izv. RAN. Ser. Mat., 86:6 (2022),  143–160  mathnet  mathscinet; Izv. Math., 86:6 (2022), 1162–1178  isi  scopus
8. V. N. Pavlenko, D. K. Potapov, “Semiregular solutions of elliptic boundary-value problems with discontinuous nonlinearities of exponential growth”, Mat. Sb., 213:7 (2022),  121–138  mathnet  mathscinet; Sb. Math., 213:7 (2022), 1004–1019  isi  scopus 1
9. V. V. Yevstafyeva, A. M. Kamachkin, D. K. Potapov, “Periodic modes in an automatic control system with a three-position hysteresis relay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:4 (2022),  596–607  mathnet 1
2021
10. V. N. Pavlenko, D. K. Potapov, “About a problem on conductor heating”, Chelyab. Fiz.-Mat. Zh., 6:3 (2021),  299–311  mathnet
11. V. N. Pavlenko, D. K. Potapov, “Positive solutions of superlinear elliptic problems with discontinuous non-linearities”, Izv. RAN. Ser. Mat., 85:2 (2021),  95–112  mathnet  elib; Izv. Math., 85:2 (2021), 262–278  isi  scopus 2
12. V. N. Pavlenko, D. K. Potapov, “Existence of Semiregular Solutions of Elliptic Systems with Discontinuous Nonlinearities”, Mat. Zametki, 110:2 (2021),  239–257  mathnet  elib; Math. Notes, 110:2 (2021), 226–241  isi  scopus 3
13. V. N. Pavlenko, D. K. Potapov, “Variational method for elliptic systems with discontinuous nonlinearities”, Mat. Sb., 212:5 (2021),  133–152  mathnet  elib; Sb. Math., 212:5 (2021), 726–744  isi  scopus 4
14. A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva, “Method for the transformation of complex automatic control systems to integrable form”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 17:2 (2021),  196–212  mathnet 1
2020
15. V. N. Pavlenko, D. K. Potapov, “On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity”, Izv. RAN. Ser. Mat., 84:3 (2020),  168–184  mathnet  mathscinet  elib; Izv. Math., 84:3 (2020), 592–607  isi  scopus 4
16. A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva, “Dynamics and synchronization in feedback cyclic structures with hysteresis oscillators”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:2 (2020),  186–199  mathnet 5
2019
17. V. N. Pavlenko, D. K. Potapov, “Properties of the spectrum of an elliptic boundary value problem with a parameter and a discontinuous nonlinearity”, Mat. Sb., 210:7 (2019),  145–170  mathnet  mathscinet  elib; Sb. Math., 210:7 (2019), 1043–1066  isi  scopus 4
2018
18. V. N. Pavlenko, D. K. Potapov, “Elenbaas Problem of Electric Arc Discharge”, Mat. Zametki, 103:1 (2018),  92–100  mathnet  mathscinet  elib; Math. Notes, 103:1 (2018), 89–95  isi  scopus 7
2017
19. V. N. Pavlenko, D. K. Potapov, “Existence of Three Nontrivial Solutions of an Elliptic Boundary-Value Problem with Discontinuous Nonlinearity in the Case of Strong Resonance”, Mat. Zametki, 101:2 (2017),  247–261  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 284–296  isi  scopus 8
20. V. N. Pavlenko, D. K. Potapov, “Existence of two nontrivial solutions for sufficiently large values of the spectral parameter in eigenvalue problems for equations with discontinuous right-hand sides”, Mat. Sb., 208:1 (2017),  165–182  mathnet  mathscinet  elib; Sb. Math., 208:1 (2017), 157–172  isi  scopus 8
21. V. N. Pavlenko, D. K. Potapov, “Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities”, Sibirsk. Mat. Zh., 58:2 (2017),  375–385  mathnet  elib; Siberian Math. J., 58:2 (2017), 288–295  isi  elib  scopus 5
2016
22. V. N. Pavlenko, D. K. Potapov, “Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity”, Mat. Tr., 19:1 (2016),  91–105  mathnet  mathscinet  elib; Siberian Adv. Math., 27:1 (2017), 16–25  scopus 7
2015
23. V. N. Pavlenko, D. K. Potapov, “The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities”, Mat. Sb., 206:9 (2015),  121–138  mathnet  mathscinet  zmath  elib; Sb. Math., 206:9 (2015), 1281–1298  isi  scopus 13
2013
24. D. K. Potapov, “Spectral Problems for Variational Inequalities with Discontinuous Operators”, Mat. Zametki, 93:2 (2013),  252–262  mathnet  mathscinet  zmath  elib; Math. Notes, 93:2 (2013), 288–296  isi  elib  scopus 5
25. D. K. Potapov, “On a number of solutions in problems with spectral parameter for equations with discontinuous operators”, Ufimsk. Mat. Zh., 5:2 (2013),  56–62  mathnet  mathscinet  elib; Ufa Math. J., 5:2 (2013), 56–62 2
2012
26. D. K. Potapov, “On number of solutions for one class of elliptic equations with a spectral parameter and discontinuous nonlinearity”, Dal'nevost. Mat. Zh., 12:1 (2012),  86–88  mathnet 1
27. Dmitry K. Potapov, “On elliptic equations with spectral parameter and discontinuous nonlinearity”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012),  417–421  mathnet 1
28. Dmitry K. Potapov, “Control problems for equations with a spectral parameter and a discontinuous operator under perturbations”, J. Sib. Fed. Univ. Math. Phys., 5:2 (2012),  239–245  mathnet 7
29. D. K. Potapov, “On solutions of the Gol'dshtik problem”, Sib. Zh. Vychisl. Mat., 15:4 (2012),  409–415  mathnet  elib; Num. Anal. Appl., 5:4 (2012), 342–347  scopus 9
30. D. K. Potapov, “On a class of elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity”, Sibirsk. Mat. Zh., 53:1 (2012),  205–212  mathnet  mathscinet; Siberian Math. J., 53:1 (2012), 168–173  isi  scopus 4
31. D. K. Potapov, “On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012),  188–190  mathnet  zmath
32. D. K. Potapov, “On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012),  251–255  mathnet 2
2011
33. D. K. Potapov, “Estimation of operator norms in eigenvalue problems for equations with discontinuous operators”, Izv. Saratov Univ. Math. Mech. Inform., 11:4 (2011),  41–45  mathnet 1
34. D. K. Potapov, “Approximation of the One-Parameter Family of Dirichlet Problems for Higher-Order Elliptic-Type Equations with Discontinuous Nonlinearities in the Resonance Case”, Mat. Zametki, 90:3 (2011),  467–469  mathnet  mathscinet; Math. Notes, 90:3 (2011), 451–454  isi  scopus 4
35. D. K. Potapov, “Bifurcation Problems for Equations of Elliptic Type with Discontinuous Nonlinearities”, Mat. Zametki, 90:2 (2011),  280–284  mathnet  mathscinet; Math. Notes, 90:2 (2011), 260–264  isi  scopus 15
36. D. K. Potapov, “A continuous approximation for a 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid”, Sib. Zh. Vychisl. Mat., 14:3 (2011),  291–296  mathnet; Num. Anal. Appl., 4:3 (2011), 234–238  scopus 18
37. D. K. Potapov, “Approximations of Gol'dshtik's model”, Zhurnal SVMO, 13:2 (2011),  100–107  mathnet
38. D. K. Potapov, “Control of spectral problems for equations with discontinuous operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  190–200  mathnet  elib 9
39. D. K. Potapov, “Estimation of the bifurcation parameter in spectral problems for equations with discontinuous operators”, Ufimsk. Mat. Zh., 3:1 (2011),  43–46  mathnet  zmath; Ufa Math. J., 3:1 (2011), 42–44 3
2010
40. D. K. Potapov, “Continuous Approximations of Goldshtik's Model”, Mat. Zametki, 87:2 (2010),  262–266  mathnet  mathscinet  zmath; Math. Notes, 87:2 (2010), 244–247  isi  scopus 32
41. D. K. Potapov, “Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010),  268–271  mathnet 6
2005
42. V. N. Pavlenko, D. K. Potapov, “Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4,  49–55  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:4 (2005), 46–52 7
2002
43. V. N. Pavlenko, D. K. Potapov, “О существовании полуоси положительных собственных значений для уравнений с разрывными операторами”, Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  114–119  mathnet
2001
44. V. N. Pavlenko, D. K. Potapov, “Existence of a ray of eigenvalues for equations with discontinuous operators”, Sibirsk. Mat. Zh., 42:4 (2001),  911–919  mathnet  mathscinet  zmath; Siberian Math. J., 42:4 (2001), 766–773  isi 43
2017
45. S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, “К 70-летию профессора Вячеслава Николаевича Павленко”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017),  383–387  mathnet  elib

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