В. И. Горбачук

1.0k total citations
24 papers, 515 citations indexed

About

В. И. Горбачук is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, В. И. Горбачук has authored 24 papers receiving a total of 515 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Applied Mathematics, 18 papers in Mathematical Physics and 11 papers in Computational Theory and Mathematics. Recurrent topics in В. И. Горбачук's work include Spectral Theory in Mathematical Physics (14 papers), Differential Equations and Boundary Problems (14 papers) and Advanced Mathematical Modeling in Engineering (10 papers). В. И. Горбачук is often cited by papers focused on Spectral Theory in Mathematical Physics (14 papers), Differential Equations and Boundary Problems (14 papers) and Advanced Mathematical Modeling in Engineering (10 papers). В. И. Горбачук collaborates with scholars based in Ukraine, Czechia and United States. В. И. Горбачук's co-authors include М. Л. Горбачук, Anatoly N. Kochubei and Yu. S. Samoĭlenko and has published in prestigious journals such as Russian Mathematical Surveys, Functional Analysis and Its Applications and Integral Equations and Operator Theory.

In The Last Decade

В. И. Горбачук

20 papers receiving 410 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
В. И. Горбачук Ukraine 9 414 279 273 70 45 24 515
М. Л. Горбачук Ukraine 9 432 1.0× 295 1.1× 288 1.1× 75 1.1× 47 1.0× 35 536
Reinhard Mennicken Germany 13 242 0.6× 163 0.6× 215 0.8× 50 0.7× 35 0.8× 39 339
A. S. Markus Israel 10 152 0.4× 126 0.5× 155 0.6× 38 0.5× 28 0.6× 25 286
Henk de Snoo Netherlands 17 633 1.5× 447 1.6× 530 1.9× 83 1.2× 66 1.5× 54 805
Volodymyr Derkach Ukraine 8 610 1.5× 311 1.1× 414 1.5× 43 0.6× 48 1.1× 27 660
Branko Najman Croatia 13 189 0.5× 90 0.3× 154 0.6× 83 1.2× 60 1.3× 31 307
Johann Walter Germany 7 316 0.8× 164 0.6× 194 0.7× 26 0.4× 52 1.2× 28 377
M. Faierman South Africa 12 315 0.8× 253 0.9× 272 1.0× 87 1.2× 39 0.9× 65 439
Max Jodeit United States 11 232 0.6× 350 1.3× 224 0.8× 23 0.3× 18 0.4× 22 512
Richard Bolstein United States 4 241 0.6× 198 0.7× 165 0.6× 41 0.6× 72 1.6× 7 390

Countries citing papers authored by В. И. Горбачук

Since Specialization
Citations

This map shows the geographic impact of В. И. Горбачук's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by В. И. Горбачук with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites В. И. Горбачук more than expected).

Fields of papers citing papers by В. И. Горбачук

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by В. И. Горбачук. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by В. И. Горбачук. The network helps show where В. И. Горбачук may publish in the future.

Co-authorship network of co-authors of В. И. Горбачук

This figure shows the co-authorship network connecting the top 25 collaborators of В. И. Горбачук. A scholar is included among the top collaborators of В. И. Горбачук based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with В. И. Горбачук. В. И. Горбачук is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Горбачук, М. Л. & В. И. Горбачук. (2000). On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators. Ukrainian Mathematical Journal. 52(5). 694–702. 1 indexed citations
2.
Горбачук, М. Л. & В. И. Горбачук. (1998). Realization of entire operators by differential ones. Integral Equations and Operator Theory. 30(2). 200–230. 1 indexed citations
3.
Горбачук, М. Л. & В. И. Горбачук. (1997). M.G. Krein’s Lectures on Entire Operators. Birkhäuser Basel eBooks. 38 indexed citations
4.
Горбачук, М. Л. & В. И. Горбачук. (1995). Theory of self-adjoint extensions of symmetric operators. entire operators and boundary-value problems. Ukrainian Mathematical Journal. 46(1-2). 54–61. 1 indexed citations
5.
Горбачук, М. Л. & В. И. Горбачук. (1995). Approximation of smooth vectors of a closed operator by entire vectors of exponential type. Ukrainian Mathematical Journal. 47(5). 713–726. 11 indexed citations
6.
Горбачук, В. И. & М. Л. Горбачук. (1991). Boundary Value Problems for Operator Differential Equations. CERN Document Server (European Organization for Nuclear Research). 335 indexed citations
7.
Горбачук, В. И., М. Л. Горбачук, & Anatoly N. Kochubei. (1989). Extension theory for symmetric operators and boundary value problems for differential equations. Ukrainian Mathematical Journal. 41(10). 1117–1129. 25 indexed citations
8.
Горбачук, В. И., et al.. (1989). Boundary values of solutions of operator-differential equations. Russian Mathematical Surveys. 44(3). 67–111. 28 indexed citations
9.
Горбачук, В. И.. (1984). Spaces of infinitely differentiable vectors of a nonnegative self-adjoint operator. Ukrainian Mathematical Journal. 35(5). 531–534. 8 indexed citations
10.
Горбачук, В. И.. (1982). Fourier series of periodic ultradistributions. Ukrainian Mathematical Journal. 34(2). 118–123. 7 indexed citations
11.
Горбачук, В. И. & М. Л. Горбачук. (1978). Dirichlet problem for an operator Sturm-Liouville equation. Mathematical Notes. 24(6). 925–928. 1 indexed citations
12.
Горбачук, В. И. & М. Л. Горбачук. (1977). Some questions of the spectral theory of differential equations of elliptic type in the space of vector-functions. Ukrainian Mathematical Journal. 28(3). 244–252. 2 indexed citations
13.
Горбачук, В. И.. (1976). Asymptotics of the eigenvalues of boundary-value problems for differential equations in a space of vector functions. Ukrainian Mathematical Journal. 27(5). 542–546. 4 indexed citations
14.
Горбачук, В. И. & М. Л. Горбачук. (1976). Some questions of the spectral theory of differential equations of elliptic type in the space of vector functions on a finite interval. Ukrainian Mathematical Journal. 28(1). 9–19. 10 indexed citations
15.
Горбачук, В. И., et al.. (1976). SPECTRAL THEORY OF SELF-ADJOINT OPERATORS, AND INFINITE-DIMENSIONAL ANALYSIS. Russian Mathematical Surveys. 31(1). 217–231.
16.
Горбачук, В. И. & М. Л. Горбачук. (1973). The spectrum of self-adjoint extensions of the minimal operator generated by a Sturm-Liouville equation with operator potential. Ukrainian Mathematical Journal. 24(6). 582–588. 4 indexed citations
17.
Горбачук, В. И. & М. Л. Горбачук. (1973). Classes of boundary-value problems for the sturm ? Liouville equation with an operator potential. Ukrainian Mathematical Journal. 24(3). 241–250. 17 indexed citations
18.
Горбачук, В. И. & М. Л. Горбачук. (1972). Problems of the spectral theory of the second order linear differential equation with unbounded operator coefficients. Ukrainian Mathematical Journal. 23(1). 1–11. 8 indexed citations
19.
Горбачук, В. И. & М. Л. Горбачук. (1971). Self-adjoint boundary problems with discrete spectrum generated by the sturm-liouville equation with unbounded operator coefficient. Functional Analysis and Its Applications. 5(4). 322–323. 6 indexed citations
20.
Горбачук, В. И.. (1967). Continuations of a real hermite-indefinite function with a negative square. Ukrainian Mathematical Journal. 19(4). 483–488. 1 indexed citations

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