On mathematical contributions of Petr Petrovich Zabreĭko

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August 2013, 6(4): 837-860. doi: 10.3934/dcdss.2013.6.837

On mathematical contributions of Petr Petrovich Zabreĭko

Zalman Balanov ^1,2, , I. Gaishun ^3,4, , V. Gorohovik ^3,4, , Wieslaw Krawcewicz ^5,6,7, and A. Lebedev ^8,9,

1.	Department of Mathematical Sciences, University of Texas at Dallas
2.	Richardson, Texas, 75080
3.	Mathematics Institute, National Academy of Sciences of Belarus
4.	11 Surganov str., Minsk 220072
5.	Department of Mathematical Sciences
6.	University of Texas at Dallas
7.	Richardson, TX 75080
8.	Department of Mechanics and Mathematics, Belorussian State University
9.	4 Nezavisimosti sq., Minsk 220050

Received February 2012 Published December 2012

Abstract
Related Papers

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Keywords: Degree theory, winding number, equivariant degree, integral operators, integral equations, Hammerstein equation, Barbashin integro-differential equation, Hahn-Sacks-Vitali Theorem, cones in Banach spaces, ideal spaces, positive linear operators, Riemann problem for PDEs, Banach-Cacciopolli contraction principle, Kantorovich majorant principle, Bishop-Phelps theorem, Schauder principle, Darbo-Sadovski? principle, Ostrovski? theorem, Kellogg's approximations, Kre?n-Rutman theorem, Fredholm radius, Minty-Brouder principle, Rcker-Lefschetz algorithm, Vainberg-Trenogin algorithm, Lyapunov-Schmidt branching equation, bifurcation theory, Newton diagram, Cauchy problem, Bogolyubov-Krylov averaging principle, Galerkin approximations, stability and dichotomy of solutions, Fedorov-Riccati systems, Abel-Bernouli systems, Weyl decomposition for Navier-Stokes equation, Hille-Phillips-Miyadera, Roumieu spaces, Vertgeim conditions, $LU$-decomposition..

Mathematics Subject Classification: 01A70, 06F20, 26B05, 26B10, 26E15, 26E20, 34A12, 34A26, 34A34, 34A60, 34B15, 34B60, 342C5, 34C27, 34D08, 34D20, 34D23, 34F20, 34G20, 35A01, 35A10, 35A15, 35B09, 35B10, 35B32, 35F50, 35J60, 35K55, 35K61, 35K90, 41A65, 45A05, 45D05, 47A10, 47H04, 47H07, 47H.

Citation: Zalman Balanov, I. Gaishun, V. Gorohovik, Wieslaw Krawcewicz, A. Lebedev. On mathematical contributions of Petr Petrovich Zabreĭko. Discrete and Continuous Dynamical Systems - S, 2013, 6 (4) : 837-860. doi: 10.3934/dcdss.2013.6.837

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[211]	(Russian), Tr. Inst. Mat. (Minsk), Natl. Akad. Nauk Belarusi, Inst. Mat., Minsk, 2 (2004), 21-24.
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[221]	(Russian), Dokl. Nats. Akad. Nauk Belarusi, 50, (2006), 9-14.
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[227]	(Differential Equations & Dynamical Systems), American Institute of Mathematiacal Sciences, 2006, p. VII-XIV.
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[231]	(Russian), Dokl. Nats. Akad. Nauk Belarusi, 52 (2008), 15-19.
[232]	arXiv:0809.1312v1 [math.FA] (2008), 1-14.
[233]	in "Analytic Methods of Analysis and Differential Equations" (Eds. A. A.Kilbas and S. V. Rogozin), Cambridge Scientific Publishers, (2008), 181-191.
[234]	(Russian), Tr. Inst. Mat. (Minsk), Natl. Akad. Nauk Belarusi, Inst. Mat., Minsk, 17 (2009), 1-60.
[235]	(Russian), Aktual'n. Probl. Sovr. Anal., Grodno, (2009), 53-68.
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[238]	(Russian), Dokl. Nats. Akad. Nauk Belarusi, 54 (2010), 8-13.
[239]	Tr. Inst. Mat. (Minsk), Natl. Akad. Nauk Belarusi, Inst. Mat., Minsk, 18 (2010), 36-46.
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