П. Е. Соболевский

1.5k citations

41 papers · 759 · h-index 14

Impact in

Numerical Analysis top 2%
- Differential Equations and Numerical Methods
Applied Mathematics top 1%
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
- Nonlinear Partial Differential Equations

Papers in

Applied Mathematics 30
- Differential Equations and Boundary Problems 27
- Nonlinear Differential Equations Analysis 7
Numerical Analysis 20
- Differential Equations and Numerical Methods 18
- Numerical methods for differential equations 5

Co-authors: Allaberen Ashyralyev (10 shared papers)V. P. Orlov (1 shared paper)M. A. Krasnosel’skii (1 shared paper)Lev Birbrair (1 shared paper)M. A. Naĭmark (1 shared paper)Israel Gohberg (1 shared paper)В. А. Ильин (1 shared paper)
Journals: Abstract and Applied Analysis (6 papers)Siberian Mathematical Journal (5 papers)Nonlinear Analysis (4 papers)Differential and Integral Equations (3 papers)Semigroup Forum (1 paper)
Partner nations: Russia Bulgaria Czechia

In The Last Decade

П. Е. Соболевский

36 papers receiving 672 citations

Peers

Countries citing papers authored by П. Е. Соболевский

Since Specialization

Citations

This map shows the geographic impact of П. Е. Соболевский'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 П. Е. Соболевский with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites П. Е. Соболевский more than expected).

Fields of papers citing papers by П. Е. Соболевский

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by П. Е. Соболевский. 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 П. Е. Соболевский. The network helps show where П. Е. Соболевский may publish in the future.

Co-authors

The 7 scholars most cited alongside П. Е. Соболевский, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with П. Е. Соболевский Line = papers co-authored together П. Е. Соболевский links everyone, so they are left out of the graph.

All Works

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Showing the 20 most-cited of 41 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Well-Posedness of Parabolic Difference Equations Birkhäuser Basel eBooks ·Allaberen Ashyralyev, П. Е. Соболевский	1994	157
2	COERCIVENESS INEQUALITIES FOR ABSTRACT PARABOLIC EQUATIONS П. Е. Соболевский	1964	79
3	The best possible constant in generalized Hardy's inequality for convex domain in rn Nonlinear Analysis ·Tanya Matskewich, П. Е. Соболевский	1997	74
4	A note on the difference schemes for hyperbolic equations Abstract and Applied Analysis ·Allaberen Ashyralyev, П. Е. Соболевский	2001	47
5	Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations Discrete Dynamics in Nature and Society ·Allaberen Ashyralyev, П. Е. Соболевский	2005	42
6	THE COERCIVE SOLVABILITY OF DIFFERENCE EQUATIONS П. Е. Соболевский	1971	41
7	Motion of nonlinear visco-elastic fluid Nonlinear Analysis ·Yuri Ya. Agranovich, П. Е. Соболевский	1998	37
8	On well‐posedness of the nonlocal boundary value problem for parabolic difference equations Discrete Dynamics in Nature and Society ·Allaberen Ashyralyev, İbrahim Karatay, П. Е. Соболевский	2004	36
9	Coercive solvability of the nonlocal boundary value problem for parabolic differential equations Abstract and Applied Analysis ·Allaberen Ashyralyev, Asker Hanalyev, П. Е. Соболевский	2001	30
10	On mathematical models of a viscoelasticity with a memory Differential and Integral Equations ·V. P. Orlov, П. Е. Соболевский	1991	29
11	Stabilization of viscoelastic fluid motion (Oldroyd's mathematical model) Differential and Integral Equations ·П. Е. Соболевский	1994	27
12	Well‐posedness of difference elliptic equation Discrete Dynamics in Nature and Society ·П. Е. Соболевский	1997	19
13	Интегральные операторы в пространствах суммируемых функций M. A. Krasnosel’skii, P. P. Zabreĭko, E. I. Pustylʹnik, П. Е. Соболевский	1966	15
14	Asymptotics of Stable Viscoelastic Fluid Motion (Oldroyd's Mathematical Model) Mathematische Nachrichten ·П. Е. Соболевский	1996	13
15	On the stability of the linear delay differential and difference equations Abstract and Applied Analysis ·Allaberen Ashyralyev, П. Е. Соболевский	2001	11
16	A note on the difference schemes for hyperbolic‐elliptic equations Abstract and Applied Analysis ·Allaberen Ashyralyev, Gozel Judakova, П. Е. Соболевский	2006	11
17	A New Method of Summation of Fourier Series Converging in C-Norm Semigroup Forum ·П. Е. Соболевский	2005	11
18	Well-posed solvability of the Cauchy problem for difference equations of parabolic type Nonlinear Analysis ·Allaberen Ashyralyev, П. Е. Соболевский	1995	10
19	Stability and convergence of difference schemes of a high order of approximation for parabolic equations Ukrainian Mathematical Journal ·Kh. A. Alibekov, П. Е. Соболевский	1980	10
20	Hyperbolic equations in Hilbert space Siberian Mathematical Journal ·П. Е. Соболевский, V. A. Pogorelenko	1967	8

About П. Е. Соболевский

П. Е. Соболевский is a scholar working on Applied Mathematics, Numerical Analysis, Mathematical Physics, Computational Theory and Mathematics and Control and Systems Engineering, having authored 41 papers that have together received 759 indexed citations. Recurring topics across this work include Differential Equations and Boundary Problems (27 papers), Differential Equations and Numerical Methods (18 papers), Advanced Mathematical Modeling in Engineering (8 papers), Nonlinear Differential Equations Analysis (7 papers), advanced mathematical theories (6 papers), Numerical methods for differential equations (5 papers), Stability and Controllability of Differential Equations (4 papers) and Approximation Theory and Sequence Spaces (3 papers). The work is most often cited by research in Numerical Analysis (405 citations), Applied Mathematics (594 citations), Mathematical Physics (305 citations), Computational Theory and Mathematics (250 citations) and Modeling and Simulation (56 citations). П. Е. Соболевский has collaborated with scholars based in Russia, Bulgaria and Czechia. Frequent co-authors include Allaberen Ashyralyev, V. P. Orlov, M. A. Krasnosel’skii, Lev Birbrair, M. A. Naĭmark, Israel Gohberg and В. А. Ильин. Their work appears in journals such as Abstract and Applied Analysis, Siberian Mathematical Journal, Nonlinear Analysis, Differential and Integral Equations and Semigroup Forum.

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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П. Е. Соболевский

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П. Е. Соболевский

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