D. K. Potapov
About
D. K. Potapov is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Numerical Analysis.
According to data from OpenAlex, D. K. Potapov has authored 75 papers receiving a total of 493 indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Computational Theory and Mathematics, 49 papers in Applied Mathematics and 35 papers in Numerical Analysis. Recurrent topics in D. K. Potapov's work include Advanced Mathematical Modeling in Engineering (50 papers), Differential Equations and Numerical Methods (35 papers) and Differential Equations and Boundary Problems (33 papers). D. K. Potapov is often cited by papers focused on Advanced Mathematical Modeling in Engineering (50 papers), Differential Equations and Numerical Methods (35 papers) and Differential Equations and Boundary Problems (33 papers). D. K. Potapov collaborates with scholars based in Russia and United States. D. K. Potapov's co-authors include and has published in prestigious journals such as SHILAP Revista de lepidopterología, International Journal of Control and International Journal of Robust and Nonlinear Control.
In The Last Decade
D. K. Potapov
59 papers receiving 429 citations
Peers
D. K. Potapov
Yukun An China
Xinlong Zhou China
Ram U. Verma United States
Michael Bildhauer Germany
Sun Hye Park South Korea
Liping Wen China
Mohammad M. Al‐Gharabli Saudi Arabia
Zhensheng Yu China
Fazia Bedouhene Algeria
M. Amouroux France
Citations per year, relative to D. K. Potapov D. K. Potapov (= 1×)
peers
Yukun An
Countries citing papers authored by D. K. Potapov
Since
Specialization
Citations
This map shows the geographic impact of D. K. Potapov'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 D. K. Potapov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. K. Potapov more than expected).
Fields of papers citing papers by D. K. Potapov
Since
Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences
This network shows the impact of papers produced by D. K. Potapov. 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 D. K. Potapov. The network helps show where D. K. Potapov may publish in the future.
No nodes
All Works
1.
Potapov, D. K., et al.. (2024). Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance. Applications of Mathematics. 69(3). 395–414.
2.
Potapov, D. K., et al.. (2024). DYNAMICS OF RELAY SYSTEMS WITH HYSTERESIS AND HARMONIC PERTURBATION. 15(2). 48–60.
3.
Potapov, D. K., et al.. (2024). Closed-Form Calculation of the Fixed Point of the OperatorGenerated by a MultidimensionalSystem with Relay Hysteresis. Differential Equations. 60(8). 1002–1013.
4.
Potapov, D. K., et al.. (2024). Полуправильные решения интегральных уравнений с разрывными нелинейностями. Математические заметки. 116(1). 109–121.
5.
Potapov, D. K., et al.. (2023). On One Type of Oscillating Solutions of a Second-Order Ordinary Differential Equation with a Three-Position Hysteresis Relay and a Perturbation. Дифференциальные уравнения. 59(2). 150–163.
6.
Potapov, D. K., et al.. (2022). One class of quasilinear elliptic type equations with discontinuous nonlinearities. Izvestiya Mathematics. 86(6). 1162–1178.
7.
Potapov, D. K., et al.. (2021). Variational method for elliptic systems with discontinuous nonlinearities. Sbornik Mathematics. 212(5). 726–744.
8.
Potapov, D. K., et al.. (2020). Positive solutions of superlinear elliptic problems with discontinuous non-linearities. Izvestiya Mathematics. 85(2). 262–278.
9.
Potapov, D. K., et al.. (2019). On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity. Izvestiya Mathematics. 84(3). 592–607.
10.
Potapov, D. K., et al.. (2019). Properties of the spectrum of an elliptic boundary value problem with a parameter and a discontinuous nonlinearity. Sbornik Mathematics. 210(7). 1043–1066.
11.
Potapov, D. K., et al.. (2018). Existence of periodic modes in automatic control system with a three-position relay. International Journal of Control. 93(4). 763–770.
12.
Potapov, D. K., et al.. (2017). Existence of three nontrivial solutions of an elliptic boundary-value problem with discontinuous nonlinearity in the case of strong resonance. Mathematical Notes. 101(1-2). 284–296.
13.
Potapov, D. K., et al.. (2017). Existence of subharmonic solutions to a hysteresis system with sinusoidal external influence. SHILAP Revista de lepidopterología.
14.
Potapov, D. K., et al.. (2016). Existence of solutions for second-order differential equations with discontinuous right-hand side. SHILAP Revista de lepidopterología.
15.
Potapov, D. K., et al.. (2014). Solution to second-order differential equations with discontinuous right-hand side. SHILAP Revista de lepidopterología.
16.
Potapov, D. K.. (2013). On a number of solutions in problems with spectral parameter for equations with discontinuous operators. Ufimskii Matematicheskii Zhurnal. 5(2). 56–62.
17.
Potapov, D. K., et al.. (2013). Lavrent'ev problem for separated flows with an external perturbation. SHILAP Revista de lepidopterología.
18.
Potapov, D. K.. (2012). On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities. SHILAP Revista de lepidopterología.
19.
Potapov, D. K., et al.. (2010). Estimations of a differential operator in spectral parameter problems for elliptic equations with discontinuous nonlinearities. SHILAP Revista de lepidopterología. 14(2). 268–271.
20.
Potapov, D. K.. (2010). On the eigenvalue set structure for higher-order equations of elliptic type with discontinuous nonlinearities. Differential Equations. 46(1). 155–157.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.
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