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Yurko, Vyacheslav Anatol'evich
Statistics Math-Net.Ru
Total publications: 67
Scientific articles: 66
Presentations: 3

Number of views:
This page:6418
Abstract pages:21763
Full texts:8201
References:2647
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 28.08.1949
E-mail:
Keywords: ordinary differential equations, partial differential equations, functional analysis, spectral theory, inverse problems, numerical analysis.

Biography

V. A. Yurko was born on 28 August 1949 in Ozinki, Saratov district, Russia. In 1971 he graduated from Saratov State University (Department of Mathematics and Mechanics) and received his diploma in mathematics. In 1971–1974 he was a post-graduate student (aspirant) of the same department, where his thesis advisor was professor A. P. Hromov. V. A. Yurko received the degree of Kandidat of Physical and Mathematical Sciences (Ph.D.) in 1975 from Saratov State University. He was an assistant professor of mathematics in Saratov Polytechnical Institute (1974–1977) and an associate professor (docent) of Department of Mathematics and Mechanics Saratov State University (1977–1991). In 1992 he received the degree of Doctor of Physical and Mathematical Sciences from Moscow State University. He is currently a professor of mathematics of Department of Mathematics and Mechanics Saratov State University, Head of the Faculty of Mathematical Physics and Numerical Analysis. More than 150 research articles and 6 monographs have been published. He is a Fellow of American Mathematical Society.
   
Main publications:
  • Yurko V. A., Recovery of nonselfadjoint differential operators on the half-line from the Weyl matrix // Mat. Sbornik, 182 (1991), no. 3, 431–456 (Russian); English transl. in Math. USSR Sbornik, 72 (1992), no. 2, 413–438.
  • Yurko V. A. Inverse Spectral Problems for Linear Differential Operators and their Applications. Gordon and Breach, New York, Amsterdam, 2000, 253 pp.
  • Yurko V. A., Inverse Spectral Problems and their Applications, Saratov, PI Press, 2001, 499 pp.
  • Freiling G. and Yurko V. A., Inverse Sturm–Liouville Problems and their Applications, NOVA Science Publishers, New York, 2001, 305 pp.
  • Yurko V. A., Methods of Spectral Mappings in the Inverse Problem Theory, Inverse and Ill-posed Problems Series. VSP, Utrecht, 2002, 250 pp.

https://www.mathnet.ru/eng/person8327
List of publications on Google Scholar
https://zbmath.org/authors/ai:yurko.vjacheslav-anatoljevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/197258
https://elibrary.ru/author_items.asp?authorid=2934
https://orcid.org/0000-0002-4853-0102

Publications in Math-Net.Ru Citations
2024
1. V. A. Yurko, “Global solvability of the inverse spectral problem for differential systems on a finite interval”, Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024),  200–208  mathnet
2021
2. V. A. Yurko, “Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities”, CMFD, 67:2 (2021),  408–421  mathnet 1
3. V. A. Yurko, “Differential operators on graphs with a cycle”, Izv. Saratov Univ. Math. Mech. Inform., 21:3 (2021),  343–351  mathnet  isi 1
2020
4. V. A. Yurko, “On determination of functional-differential pencils on closed sets from the Weyl-type function”, Izv. Saratov Univ. Math. Mech. Inform., 20:3 (2020),  343–350  mathnet  isi 1
2019
5. V. A. Yurko, “On recovering differential operators on a closed set from spectra”, Izv. Saratov Univ. Math. Mech. Inform., 19:4 (2019),  389–396  mathnet  isi
6. V. A. Yurko, “On the Inverse Problem for Differential Operators on a Finite Interval with Complex Weights”, Mat. Zametki, 105:2 (2019),  313–320  mathnet  mathscinet  elib; Math. Notes, 105:2 (2019), 301–306  isi  scopus 4
2018
7. V. A. Yurko, “On inverse problem for differential operators with deviating argument”, Izv. Saratov Univ. Math. Mech. Inform., 18:3 (2018),  328–333  mathnet  isi  elib 1
2017
8. V. A. Yurko, “Spectral analysis of higher-order differential operators with discontinuity conditions at an interior point”, CMFD, 63:2 (2017),  362–372  mathnet  mathscinet 4
9. V. A. Yurko, “On recovering differential pencils on a bush-type graph”, Izv. Saratov Univ. Math. Mech. Inform., 17:1 (2017),  51–61  mathnet  elib
2016
10. V. A. Yurko, “On inverse periodic problem for differential operators for central symmetric potentials”, Izv. Saratov Univ. Math. Mech. Inform., 16:1 (2016),  68–75  mathnet  mathscinet  elib 2
11. V. A. Yurko, “Inverse Problems for First-Order Integro-Differential Operators”, Mat. Zametki, 100:6 (2016),  939–946  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 876–882  isi  scopus 9
12. V. A. Yurko, “Inverse spectral problems for differential operators on spatial networks”, Uspekhi Mat. Nauk, 71:3(429) (2016),  149–196  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:3 (2016), 539–584  isi  scopus 43
2015
13. O. B. Gorbunov, C.-T. Shieh, V. A. Yurko, “Systems of differential equations on the line with regular singularities”, Izv. Saratov Univ. Math. Mech. Inform., 15:1 (2015),  27–31  mathnet  isi  elib
14. V. A. Yurko, “On an Inverse Problem for Quasiperiodic Differential Pencils with Jump Conditions inside the Interval”, Mat. Zametki, 98:3 (2015),  476–480  mathnet  mathscinet  elib; Math. Notes, 98:3 (2015), 529–533  isi  scopus 2
2014
15. G. Freiling, V. Yurko, “Recovering Sturm–Liouville operators on hedgehog-type graphs with general matching conditions”, Eurasian Math. J., 5:4 (2014),  56–69  mathnet
16. V. A. Yurko, “Inverse Spectral Problem for Discrete Operators in Topological Spaces”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  439–447  mathnet  elib 1
17. V. A. Yurko, “On an inverse problem for differential operators on hedgehog-type graphs”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014),  65–72  mathnet  elib
18. V. A. Yurko, “Inverse Problem for Differential Operators on Spatial Networks with Different Orders on Different Edges”, Tr. Mosk. Mat. Obs., 75:2 (2014),  125–138  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 103–114  scopus
2013
19. V. A. Yurko, “Recovering Differential Operators on Star-Type Graphs with Different Orders on Different Edges”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  112–116  mathnet  elib 2
2012
20. V. A. Yurko, “Uniqueness of recovering arbitrary order differential operators on noncompact spatial networks”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012),  33–41  mathnet  elib
2011
21. L. Yu. Kossovich, V. A. Yurko, I. V. Kirillova, “Mode-series expansion of solutions of elasticity problems for a strip”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011),  83–96  mathnet
22. V. A. Yurko, “Inverse Problem for Sturm–Liouville Operators on Hedgehog-Type Graphs”, Mat. Zametki, 89:3 (2011),  459–471  mathnet  mathscinet; Math. Notes, 89:3 (2011), 438–449  isi  scopus 5
2010
23. V. A. Yurko, “Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010),  33–38  mathnet
2009
24. V. A. Yurko, “An inverse spectral problem for differential operators on a hedgehog-type graph”, Dokl. Akad. Nauk, 425:4 (2009),  466–470  mathnet  mathscinet; Dokl. Math., 79:2 (2009), 250–254  isi  scopus 2
25. V. A. Yurko, “Recovering differential operators on a bush-type graph”, Izv. Saratov Univ. Math. Mech. Inform., 9:2 (2009),  59–65  mathnet  elib 1
26. V. A. Yurko, “Recovering Sturm-Liouville operators from spectra on a graph with a cycle”, Mat. Sb., 200:9 (2009),  147–160  mathnet  mathscinet  zmath  elib; Sb. Math., 200:9 (2009), 1403–1415  isi  scopus 8
27. V. A. Yurko, “Inverse nodal problems for the Sturm–Liouville differential operators on a star-type graph”, Sibirsk. Mat. Zh., 50:2 (2009),  469–475  mathnet  mathscinet; Siberian Math. J., 50:2 (2009), 373–378  isi  scopus 20
2008
28. V. A. Yurko, “Recovering differential operators on a graph with a cycle and with generalized matching conditions”, Izv. Saratov Univ. Math. Mech. Inform., 8:3 (2008),  10–17  mathnet  elib 2
29. V. A. Yurko, “On inverse nodal and spectral problems for boundary value problems with discontinuity conditions inside the interval”, Izv. Saratov Univ. Math. Mech. Inform., 8:1 (2008),  31–35  mathnet 2
30. V. A. Yurko, “Inverse Problems for Differential Operators of Any Order on Trees”, Mat. Zametki, 83:1 (2008),  139–152  mathnet  mathscinet  zmath; Math. Notes, 83:1 (2008), 125–137  isi  scopus 22
2006
31. V. A. Yurko, “The inverse problem for pencils of differential operators on the half-line with turning points”, Fundam. Prikl. Mat., 12:5 (2006),  237–246  mathnet  mathscinet  zmath  elib; J. Math. Sci., 150:6 (2008), 2620–2627  elib  scopus 4
32. V. A. Yurko, “On recovering Sturm–Liouville operators on graphs”, Mat. Zametki, 79:4 (2006),  619–630  mathnet  mathscinet  zmath  elib; Math. Notes, 79:4 (2006), 572–582  isi  elib  scopus 29
33. V. A. Yurko, “On Recovering Differential Systems on a Finite Interval from Spectra”, Trudy Mat. Inst. Steklova, 255 (2006),  273–287  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 255 (2006), 260–274  scopus 1
2005
34. V. A. Yurko, “An Inverse Problem for Differential Systems on a Finite Interval in the Case of Multiple Roots of the Characteristic Polynomial”, Differ. Uravn., 41:6 (2005),  781–786  mathnet  mathscinet; Differ. Equ., 41:6 (2005), 818–823 5
35. V. A. Yurko, “Recovering singular differential pencils with à turning point”, Izv. Saratov Univ. Math. Mech. Inform., 5:1-2 (2005),  71–81  mathnet
2004
36. V. A. Yurko, “Reconstruction of Non-Self-Adjoint Differential Systems on the Half-Line from the Weyl Matrix”, Mat. Zametki, 76:2 (2004),  316–320  mathnet  mathscinet  zmath; Math. Notes, 76:2 (2004), 296–302  isi  scopus 3
37. V. A. Yurko, “An inverse spectral problem for singular non-self-adjoint differential systems”, Mat. Sb., 195:12 (2004),  123–156  mathnet  mathscinet  zmath; Sb. Math., 195:12 (2004), 1823–1854  isi  scopus 14
2002
38. V. A. Yurko, “Reconstruction of Singular Nonself-Adjoint Differential Operators with a Singularity Inside an Interval”, Differ. Uravn., 38:5 (2002),  645–659  mathnet  mathscinet; Differ. Equ., 38:5 (2002), 678–694 4
39. V. A. Yurko, “On Higher-Order Differential Operators with Singularity inside the Interval”, Mat. Zametki, 71:1 (2002),  152–156  mathnet  mathscinet  zmath  elib; Math. Notes, 71:1 (2002), 141–145  isi  scopus 3
2000
40. V. A. Yurko, “Boundary value problems with discontinuity conditions in an interior point of the interval”, Differ. Uravn., 36:8 (2000),  1139–1140  mathnet  mathscinet; Differ. Equ., 36:8 (2000), 1266–1269 42
41. V. A. Yurko, “Reconstruction of pencils of differential operators on the half-line”, Mat. Zametki, 67:2 (2000),  316–320  mathnet  mathscinet  zmath; Math. Notes, 67:2 (2000), 261–265  isi 11
42. V. A. Yurko, “An inverse problem for differential operator pencils”, Mat. Sb., 191:10 (2000),  137–160  mathnet  mathscinet  zmath  elib; Sb. Math., 191:10 (2000), 1561–1586  isi  scopus 69
1998
43. V. A. Yurko, “Integrable dynamical systems associated with higher-order difference operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 10,  71–81  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 42:10 (1998), 69–79 1
44. V. A. Yurko, “Reconstruction of Sturm–Liouville differential operators with singularities inside the interval”, Mat. Zametki, 64:1 (1998),  143–156  mathnet  mathscinet  zmath; Math. Notes, 64:1 (1998), 121–132  isi 13
1997
45. V. A. Yurko, “An inverse problem for systems of differential equations with nonlinear dependence on the spectral parameter”, Differ. Uravn., 33:3 (1997),  390–395  mathnet  mathscinet; Differ. Equ., 33:3 (1997), 388–394 7
1996
46. V. A. Yurko, “On boundary value problems for a differential equation with a singularity”, Dokl. Akad. Nauk, 349:4 (1996),  460–462  mathnet  mathscinet  zmath
47. V. A. Yurko, “On discrete operators of higher order”, Uspekhi Mat. Nauk, 51:3(309) (1996),  217–218  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:3 (1996), 578–580  isi  scopus
1995
48. V. A. Yurko, “On an inverse problem for a nonlinear differential equation”, Differ. Uravn., 31:10 (1995),  1768–1769  mathnet  mathscinet; Differ. Equ., 31:10 (1995), 1741–1743
49. V. A. Yurko, “Integrations of nonlinear dynamic systems with the method of inverse spectral problems”, Mat. Zametki, 57:6 (1995),  945–949  mathnet  mathscinet  zmath  elib; Math. Notes, 57:6 (1995), 672–675  isi 3
50. V. A. Yurko, “On determination of self-adjoint differential operators on a semiaxis”, Mat. Zametki, 57:3 (1995),  451–462  mathnet  mathscinet  zmath  elib; Math. Notes, 57:3 (1995), 310–318  isi 2
51. V. A. Yurko, “On higher-order differential operators with a regular singularity”, Mat. Sb., 186:6 (1995),  133–160  mathnet  mathscinet  zmath; Sb. Math., 186:6 (1995), 901–928  isi 26
1994
52. V. A. Yurko, “On Differential Operators with Nonseparated Boundary Conditions”, Funktsional. Anal. i Prilozhen., 28:4 (1994),  90–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:4 (1994), 295–297  isi 3
1993
53. V. A. Yurko, “An inverse problem for selfadjoint differential operators on the half-line”, Dokl. Akad. Nauk, 333:4 (1993),  449–451  mathnet  mathscinet  zmath; Dokl. Math., 48:3 (1994), 583–587
54. V. A. Yurko, “An inverse problem for higher-order differential equations with a singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 7,  59–67  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:7 (1993), 58–66
1992
55. V. A. Yurko, “An inverse problem for differential equations with a singularity”, Differ. Uravn., 28:8 (1992),  1355–1362  mathnet  mathscinet; Differ. Equ., 28:8 (1992), 1100–1107 6
1991
56. V. A. Yurko, “Integration of the Boussinesq equation on the half-line”, Differ. Uravn., 27:9 (1991),  1647–1648  mathnet  mathscinet  zmath
57. V. A. Yurko, “An inverse problem for differential operators on the half-axis”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 12,  67–76  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:12 (1991), 67–74
58. V. A. Yurko, “Inverse problem for integrodifferential operators”, Mat. Zametki, 50:5 (1991),  134–146  mathnet  mathscinet  zmath; Math. Notes, 50:5 (1991), 1188–1197  isi 44
59. V. A. Yurko, “Recovery of nonselfadjoint differential operators on the half-line from the Weyl matrix”, Mat. Sb., 182:3 (1991),  431–456  mathnet  mathscinet  zmath; Math. USSR-Sb., 72:2 (1992), 413–438  isi 37
1990
60. V. A. Yurko, “Reconstruction of differential operators from the Weyl matrix”, Dokl. Akad. Nauk SSSR, 313:6 (1990),  1368–1372  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 229–233 1
1989
61. V. A. Yurko, “Reconstruction of higher-order differential operators”, Differ. Uravn., 25:9 (1989),  1540–1550  mathnet  mathscinet; Differ. Equ., 25:9 (1989), 1082–1091 3
1988
62. V. A. Yurko, “Uniqueness of a reconstruction of binomial differential operators from two spectra”, Mat. Zametki, 43:3 (1988),  356–364  mathnet  mathscinet  zmath; Math. Notes, 43:3 (1988), 205–210  isi 1
1985
63. V. A. Yurko, “Inverse problem for integral operators”, Mat. Zametki, 37:5 (1985),  690–701  mathnet  mathscinet  zmath; Math. Notes, 37:5 (1985), 378–385  isi 16
1983
64. V. A. Yurko, “Reconstruction of fourth-order differential operators”, Differ. Uravn., 19:11 (1983),  2016–2017  mathnet  mathscinet  zmath 1
1975
65. V. A. Yurko, “The inverse problem for differential operators of second order with regular boundary conditions”, Mat. Zametki, 18:4 (1975),  569–576  mathnet  mathscinet  zmath; Math. Notes, 18:4 (1975), 928–932 14
1995
66. L. D. Kudryavtsev, S. M. Nikol'skii, D. V. Prokhorov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, A. P. Khromov, V. A. Yurko, “Nikolai Petrovich Kuptsov (obituary)”, Uspekhi Mat. Nauk, 50:4(304) (1995),  71–72  mathnet  mathscinet; Russian Math. Surveys, 50:4 (1995), 727–729  isi 3

Presentations in Math-Net.Ru
1. Method of spectral mappings in the inverse problem theory
V. A. Yurko
International Scientific Conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis - 2023 (OTHA-2023)"
August 22, 2023 13:10   
2. Spectral mapping method in the theory of inverse spectral problems
V. A. Yurko
Actual Problems of Applied Mathematics
March 3, 2023   
3. Inverse Spectral Problems for Differential Operators
V. A. Yurko
Seminar on Analysis, Differential Equations and Mathematical Physics
September 15, 2022 18:00

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