П. П. Забрейко

2.8k citations

63 papers · 1.7k indexed · 2 hit papers · h-index 11

Numerical Analysis top 1%
- Differential Equations and Numerical Methods 16
- Numerical methods for differential equations 6
Applied Mathematics top 0.5%
- Nonlinear Differential Equations Analysis 19
- Differential Equations and Boundary Problems 18
Mathematical Physics top 2%
- advanced mathematical theories 17
- Numerical methods in inverse problems 9
Modeling and Simulation top 1%
Geometry and Topology top 2%
Control and Systems Engineering
- Stability and Controllability of Differential Equations 11
Computational Theory and Mathematics
- Matrix Theory and Algorithms 10

Co-authors: M. A. Krasnosel’skii Evgeniy Pustylnik V. Ya. Stetsenko Gennadi Vainikko Ya. B. Rutitskii Д. Д. Байнов Nguyễn Văn Minh Jürgen Appell
Cited by: Numerical Analysis Applied Mathematics Mathematical Physics
Journals: Journal of Mathematical Analysis and Applications (3 papers)Computers & Mathematics with Applications (1 paper)Nonlinear Analysis (3 papers)
Partner nations: Belarus Russia Bulgaria

In The Last Decade

П. П. Забрейко

52 papers receiving 1.4k citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

1984 Geometrical Methods of Nonlinear Analysis
1972 CERN Document Server (European Organization for Nuclear Research)

Peers

Countries citing papers authored by П. П. Забрейко

Since Specialization

Citations

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

Fields of papers citing papers by П. П. Забрейко

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 14 scholars most cited alongside П. П. Забрейко, 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. П. Забрейко Line = papers co-authored together П. П. Забрейко links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problemswith a Self-Adjoint Operator Computational Methods in Applied Mathematics ·Oleg Matysik,П. П. Забрейко	2015	1
2	The Cauchy problem for fractional differential equations with worsening right-hand sides Differential Equations ·Е. А. Баркова,П. П. Забрейко	2006	2
3	An Analog of the Peano Theorem for Fractional-Order Quasilinear Equations in Compactly Embedded Scales of Banach Spaces Differential Equations ·Е. А. Баркова,П. П. Забрейко	2004	2
4	On the Fixed Point Principle for Matrix Partial Differential Systems of Fedorov-Riccati Type Differential Equations ·S. V. Zhestkov,П. П. Забрейко	2004	1
5	FIXED POINT THEOREMS FOR OPERATORS IN SPACES OF CONTINUOUS FUNCTIONS Espedito De Pascale,П. П. Забрейко	2004	8
6	Partial integral operators and integro-differential equations Marcel Dekker eBooks ·Jürgen Appell,A. S. Kalitvin,П. П. Забрейко	2000	36
7	Convergence of the Newton-Kantorovich Method under Vertgeim Conditions: a New Improvement Zeitschrift für Analysis und ihre Anwendungen ·Espedito De Pascale,П. П. Забрейко	1998	13
8	Structural stability of linear difference equations in Hilbert space Computers & Mathematics with Applications ·Bernd Aulbach,Nguyễn Văn Minh,П. П. Забрейко	1998	2
9	Groups of Weighted Translation Operators in Lp and Linear Nonautonomous Differential Equations Journal of Mathematical Analysis and Applications ·Bernd Aulbach,N. Vanminh,П. П. Забрейко	1995	1
10	Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators Studia Mathematica ·П. П. Забрейко	1995	2
11	The Concept of Spectral Dichotomy for Linear Difference Equations Journal of Mathematical Analysis and Applications ·Bernd Aulbach,Nguyễn Văn Minh,П. П. Забрейко	1994	27
12	L_p-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space Proceedings of the Edinburgh Mathematical Society ·Д. Д. Байнов,S. I. Kostadinov,П. П. Забрейко	1993	5
13	Lp-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space Journal of Mathematical Analysis and Applications ·Д. Д. Байнов,S. I. Kostadinov,П. П. Забрейко	1991	0
14	Theorem on the continuation of bounded solutions for differential equations and the averaging principle Siberian Mathematical Journal ·П. П. Забрейко,O. M. Petrova	1981	0
15	A theorem of M. G. Krein and M. A. Rutman Functional Analysis and Its Applications ·П. П. Забрейко,S. V. Smitskikh	1979	4
16	On a class of linear positive operators Functional Analysis and Its Applications ·П. П. Забрейко,M. A. Krasnosel’skii,Yu. V. Pokornyi	1971	10
17	A formula of spectral radius of integral Volterra operators П. П. Забрейко	1967	3
18	On a fixed-point principle for operators in a Hilbert space Functional Analysis and Its Applications ·П. П. Забрейко,R. I. Kachurovskii,M. A. Krasnosel’skii	1967	7
19	Interpolation theorem for linear operators Mathematical Notes ·П. П. Забрейко	1967	7
20	Bounds for the spectral radius of positive operators Mathematical Notes ·П. П. Забрейко,M. A. Krasnosel’skii,V. Ya. Stetsenko	1967	4

About П. П. Забрейко

П. П. Забрейко is a scholar working on Numerical Analysis, Applied Mathematics and Mathematical Physics, having authored 63 papers that have together received 1.7k indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (19 papers), Differential Equations and Boundary Problems (18 papers), advanced mathematical theories (17 papers), Differential Equations and Numerical Methods (16 papers), Stability and Controllability of Differential Equations (11 papers), Matrix Theory and Algorithms (10 papers), Numerical methods in inverse problems (9 papers) and Numerical methods for differential equations (6 papers). The work is most often cited by research in Numerical Analysis (518 citations), Applied Mathematics (898 citations) and Mathematical Physics (495 citations). П. П. Забрейко has collaborated with scholars based in Belarus, Russia and Bulgaria. Frequent co-authors include M. A. Krasnosel’skii, Evgeniy Pustylnik, V. Ya. Stetsenko, Gennadi Vainikko, Ya. B. Rutitskii, Д. Д. Байнов, Nguyễn Văn Minh, Jürgen Appell, Espedito De Pascale and Bernd Aulbach. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Computers & Mathematics with Applications and Nonlinear Analysis.

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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