M. A. Krasnosel’skii

10.8k total citations · 6 hit papers
57 papers, 7.5k citations indexed

About

M. A. Krasnosel’skii is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, M. A. Krasnosel’skii has authored 57 papers receiving a total of 7.5k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Theory and Mathematics, 16 papers in Applied Mathematics and 15 papers in Mathematical Physics. Recurrent topics in M. A. Krasnosel’skii's work include Differential Equations and Numerical Methods (10 papers), Differential Equations and Boundary Problems (10 papers) and Matrix Theory and Algorithms (10 papers). M. A. Krasnosel’skii is often cited by papers focused on Differential Equations and Numerical Methods (10 papers), Differential Equations and Boundary Problems (10 papers) and Matrix Theory and Algorithms (10 papers). M. A. Krasnosel’skii collaborates with scholars based in Russia, Germany and Belgium. M. A. Krasnosel’skii's co-authors include Leo F. Boron, Aleksei V. Pokrovskiǐ, Richard E. Flaherty, J. Burlak, A. H. Armstrong, E. H. Rothe, Evgeniy Pustylnik, П. П. Забрейко, P. P. Zabreyko and V. Ya. Stetsenko and has published in prestigious journals such as American Mathematical Monthly, Nonlinear Analysis and Mathematics and Computers in Simulation.

In The Last Decade

M. A. Krasnosel’skii

49 papers receiving 6.1k citations

Hit Papers

Positive Solutions of Operator Equations. 1961 2026 1982 2004 1967 1968 1961 1989 1972 500 1000 1.5k

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
M. A. Krasnosel’skii Russia 16 4.0k 2.4k 2.1k 1.8k 1.4k 57 7.5k
Eberhard Zeidler Germany 21 3.0k 0.7× 3.9k 1.6× 1.5k 0.7× 1.5k 0.9× 1.1k 0.8× 54 7.3k
Klaus Deimling Germany 13 3.8k 1.0× 1.9k 0.8× 770 0.4× 1.6k 0.9× 1.3k 0.9× 39 5.7k
Michael G. Crandall United States 47 7.6k 1.9× 6.2k 2.6× 3.0k 1.4× 2.1k 1.2× 2.4k 1.7× 99 14.6k
A. Pazy Israel 18 4.8k 1.2× 4.6k 2.0× 3.6k 1.7× 1.9k 1.1× 5.9k 4.1× 31 11.0k
John Toland United Kingdom 32 2.2k 0.5× 1.9k 0.8× 1.3k 0.6× 1.4k 0.8× 578 0.4× 119 5.7k
Gábor Szegő United States 22 3.0k 0.8× 2.1k 0.9× 1.6k 0.8× 686 0.4× 466 0.3× 39 7.5k
G. A. Garreau United Kingdom 2 2.3k 0.6× 1.1k 0.5× 1.7k 0.8× 424 0.2× 748 0.5× 5 5.9k
Norman Levinson United States 21 1.8k 0.5× 1.3k 0.6× 1.6k 0.8× 1.2k 0.7× 782 0.5× 74 5.7k
Herbert Amann Switzerland 42 5.2k 1.3× 3.8k 1.6× 2.3k 1.1× 1.4k 0.8× 1.8k 1.3× 117 8.1k
Viorel Barbu Romania 36 2.6k 0.6× 4.0k 1.7× 1.8k 0.9× 973 0.5× 3.0k 2.1× 237 6.7k

Countries citing papers authored by M. A. Krasnosel’skii

Since Specialization
Citations

This map shows the geographic impact of M. A. Krasnosel’skii'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 M. A. Krasnosel’skii with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites M. A. Krasnosel’skii more than expected).

Fields of papers citing papers by M. A. Krasnosel’skii

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M. A. Krasnosel’skii. 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 M. A. Krasnosel’skii. The network helps show where M. A. Krasnosel’skii may publish in the future.

Co-authorship network of co-authors of M. A. Krasnosel’skii

This figure shows the co-authorship network connecting the top 25 collaborators of M. A. Krasnosel’skii. A scholar is included among the top collaborators of M. A. Krasnosel’skii 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 M. A. Krasnosel’skii. M. A. Krasnosel’skii 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.
Krasnosel’skii, M. A.. (2007). The Operator of Translation Along the Trajectories of Differential Equations. Translations of mathematical monographs. 83 indexed citations
2.
Diamond, Phil, Peter E. Kloeden, M. A. Krasnosel’skii, & A. V. Pokrovskiĭ. (2000). Chaotic dynamics in nonsmooth perturbations of bishadowing systems. Queensland's institutional digital repository (The University of Queensland). 6(1). 41–74. 4 indexed citations
3.
Krasnosel’skii, M. A., et al.. (1994). Iterations with incomplete corrections for linear systems with self-conjugate operators. Doklady Physics. 39(11). 748–751. 1 indexed citations
4.
Krasnosel’skii, M. A., Jean Mawhin, & A. V. Pokrovskiĭ. (1991). NEW THEOREMS ON PERIODIC FORCED VIBRATIONS AND BOUNDED SOLUTIONS. Soviet physics. Doklady. 36(11). 743–745. 1 indexed citations
5.
Krasnosel’skii, M. A., et al.. (1990). Identification of linear system on the basis of two tests. Soviet physics. Doklady. 35. 109.
6.
Krasnosel’skii, M. A., et al.. (1989). Autovibration in systems with hysteresis. Soviet physics. Doklady. 34. 1066. 1 indexed citations
7.
Krasnosel’skii, M. A., et al.. (1989). Positive linear systems : the method of positive operators. 173 indexed citations
8.
Krasnosel’skii, M. A., et al.. (1989). A class of hysteresis nonlinearities. Soviet physics. Doklady. 34. 301.
9.
Kozyakin, Victor, et al.. (1984). Stability of desynchronized systems. Soviet physics. Doklady. 29. 92. 6 indexed citations
10.
Krasnosel’skii, M. A. & A. V. Pokrovskiĭ. (1983). Системы с гистерезисом. 12 indexed citations
11.
Krasnosel’skii, M. A., et al.. (1980). Parameter-functionalization method in the problem of bifurcation points. 254(5). 1061–1064. 1 indexed citations
12.
Krasnosel’skii, M. A., et al.. (1975). Геометрические методы нелинейного анализа. 19 indexed citations
13.
Krasnosel’skii, M. A.. (1973). Näherungsverfahren zur Lösung von Operatorgleichungen. Akademie Verlag eBooks. 7 indexed citations
14.
Krasnosel’skii, M. A.. (1969). Приближенное решение операторных уравнений. Наука eBooks. 12 indexed citations
15.
Забрейко, П. П., et al.. (1967). On a fixed-point principle for operators in a Hilbert space. Functional Analysis and Its Applications. 1(2). 168–169. 7 indexed citations
16.
Krasnosel’skii, M. A.. (1966). Plane vector fields. 1 indexed citations
17.
Krasnosel’skii, M. A., et al.. (1966). Vektorfelder in der Ebene. Akademie Verlag eBooks. 4 indexed citations
18.
Krasnosel’skii, M. A., et al.. (1966). Интегральные операторы в пространствах суммируемых функций. 15 indexed citations
19.
Krasnosel’skii, M. A.. (1963). Векторные поля на плоскости. 1 indexed citations
20.
Dynkin, E. B., I. M. Gel'fand, А. О. Гелъфонд, et al.. (1959). Eleven Papers on Analysis, Probability and Topology. 4 indexed citations

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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