Edit Profile (opens in new tab) Loginov, Boris Vladimirovich (b. 1938 d. 2018) Co-Author Distance Author ID: loginov.boris-vladimirovich Published as: Loginov, B. V.; Loginov, Boris V.; Loginov, Boris; Loginov, Boris Vladimirovich; Loginov, B. more...less Further Spellings: Логинов, Борис Владимирович External Links: MGP · ORCID · Math-Net.Ru · dblp Documents Indexed: 183 Publications since 1963, including 2 Books 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 2,324 Reviews Biographic References: 3 Publications Co-Authors: 63 Co-Authors with 143 Joint Publications 1,145 Co-Co-Authors all top 5 Co-Authors 43 single-authored 27 Konopleva, Irìna Viktorovna 23 Rusak, Yuriĭ Borisovich 19 Kim-Tyan, Luiza Revmirovna 17 Trenogin, Vladilen Aleksandrovich 14 Makeev, Oleg V. 12 Makeeva, Olga V. 11 Sidorov, Nikolaĭ Aleksandrovich 5 Badokina, Tat’yana Evgen’evna 5 Makarov, M. Yu. 5 Pospeev, V. E. 5 Rakhimov, Davran Ganiyevich 4 Karasözen, Bülent 4 Shamanaev, Pavel A. 3 Gerasimov, Aleksandr V. 3 Gugnina, V. I. 3 Karpova, S. A. 3 Kuznetsov, A. O. 3 Kyashkin, A. A. 3 Mironova, L. V. 3 Tsyganov, Andreĭ Vladimirovich 3 Vel’misov, Petr Aleksandrovich 3 Yuldashev, N. N. 2 Arzhanykh, Ivan Semënovich 2 Bulychov, O. I. 2 Kozhevnikova, O. V. 2 Nagornyj, A. M. 2 Rakhmatova, Kh. R. 1 Andronov, Artyom Nikolaevich 1 Begmatov, A. B. 1 Dreglya, Alena Ivanovna 1 Èrgashbaev, T. 1 Falaleev, Mikhail Valentinovich 1 Foliadova, Elena V. 1 Gorbunov, Vladimir Konstantinovich 1 Grishina, S. A. 1 Il’in, Vladimir Aleksandrovich 1 Keller, Alevtina Viktorovna 1 Konopleva, U. B. 1 Kuvshinova, A. I. 1 Kuvshinova, Anastasia N. 1 Kuznetsov, Evgenii B. 1 Kuznyezov, A. O. 1 Leont’ev, Roman Yur’evich 1 Malyshev, Yu. V. 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Moiseev, Evgeniĭ Ivanovich 1 Petrov, K. M. 1 Petryakova, T. N. 1 Pospeev, V. E. 1 Pukhnachov, Vladislav Vasil’evich 1 Rachimov, D. G. 1 Romanova, Olga Aleksandrovna 1 Rousaky, Youri 1 Rozov, Nikolaĭ Khristovich 1 Sabirova, S. G. 1 Sankin, Yu. N. 1 Sidorov, Denis Nikolaevich 1 Sinitsyn, Aleksandr Vladimirovich 1 Stal’bovskaya, M. S. 1 Sukharev, Lev Aleksandrovich 1 Sviridyuk, Georgiĭ Anatol’evich 1 Tishkin, Vladimir Fëdorovich 1 Val’ter, V. G. 1 Zagrebina, Sof’ya Aleksandrovna all top 5 Serials 20 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 14 ROMAI Journal 14 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 9 Trudy Srednevolzhskogo Matematicheskogo Obshchestva 7 Differentsial’nye Uravneniya 5 Differential Equations 5 Doklady Mathematics 5 Vestnik Ul’yanovskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Estestvennye Nauki 4 Soviet Mathematics. Doklady 4 Vestnik Samarskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Fizika, Khimiya, Biologiya 4 PAMM. Proceedings in Applied Mathematics and Mechanics 4 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Funktsional’nyĭ Analiz 3 Differential Equations 3 Matematicheskoe Modelirovanie 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 3 Nonlinear Analysis. Theory, Methods & Applications 2 Mathematics of the USSR, Sbornik 2 Soviet Physics. Doklady 2 Russian Academy of Sciences. Doklady. Mathematics 2 Lobachevskii Journal of Mathematics 2 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 1 Mathematical Notes 1 Doklady Akademii Nauk UzSSR 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 European Journal of Mechanics. B. Fluids 1 Differential and Integral Equations 1 Applications of Mathematics 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Chaos 1 Trudy Instituta Matematiki 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Mathematics and its Applications (Dordrecht) 1 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 83 Operator theory (47-XX) 56 Global analysis, analysis on manifolds (58-XX) 44 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 187 times in 97 Documents Cited by ▼ Year ▼ Lyapunov-Schmidt methods in nonlinear analysis and applications. Zbl 1027.47001 Sidorov, N.; Loginov, B.; Sinitsyn, A.; Falaleev, M. 54 2002 Branching theory for the solutions of nonlinear equations under conditions of group invariance. (Teoriya vetvleniya reshenij nelinejnykh uravnenij v usloviyakh gruppovoj invariantnosti). Zbl 0593.58028 Loginov, B. V. 11 1985 Generalized Jordan structure in the problem of the stability of bifurcation solutions. (Generalized Jordan structure in the problem of the stability of bifurcating solutions.) Zbl 0739.34045 Loginov, B. V.; Rusak, Yu. B. 11 1991 Group symmetry of the Lyapunov-Schmidt branching equation and iterative methods in the problem of a bifurcation point. Zbl 0807.58008 Loginov, B. V.; Sidorov, N. A. 7 1992 The use of group properties to determine multi-parameter families of solutions of nonlinear equations. Zbl 0238.47046 Loginov, B. V.; Trenogin, V. A. 6 1972 The use of group properties to determine multi-parameter families of solutions of nonlinear equations. Zbl 0221.47040 Loginov, B. V.; Trenogin, V. A. 5 1971 Determination of the branching equation by its group symmetry – Andronov-Hopf bifurcation. Zbl 0870.34043 Loginov, B. V. 5 1997 Branching equation in the root subspace. Zbl 0949.47051 Loginov, B. V. 4 1998 Über die Verwendung der Gruppeninvarianz in der Verzweigungstheorie. Zbl 0314.47039 Loginov, B. V.; Trenogin, V. A. 4 1975 Methods of bifurcation theory in multiparameter problems of hydroaeroelasticity. Zbl 1433.34057 Badokina, T. E.; Begmatov, A. B.; Vel’misov, P. A.; Loginov, B. V. 4 2018 On stability of solutions of differential equations with the degenerate operator of the derivative. Zbl 0655.34043 Loginov, B. V. 3 1988 On the spectrum of a Bitsadze-Samarskij problem. Zbl 0683.35065 Loginov, B. V.; Nagornyj, A. M. 3 1988 Branching equation of Andronov-Hopf bifurcation under group symmetry conditions. Zbl 0935.34034 Loginov, B. V.; Trenogin, V. A. 3 1997 On bifurcation of periodic solutions of nonlinearly perturbed elliptic equations. Zbl 0703.35016 Loginov, B. V.; Sabirova, S. G. 3 1988 On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative. Zbl 1153.34034 Kim-Tyan, L. R.; Loginov, B. V.; Rousak, Yu. B. 2 2007 Green function construction for divergence problems in aeroelasticity. Zbl 1265.74033 Badokina, Tatiana E.; Loginov, Boris V.; Makeeva, Olga V. 2 2008 Bifurcating equation in the root spaces: group symmetry and potentiality. Zbl 0990.47053 Loginov, B. V. 2 1994 Development of M. K. Gavurin’s pseudoperturbation method. Zbl 0974.47015 Loginov, B. V.; Rakhimov, D. G.; Sidorov, N. A. 2 2000 Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008 Karasözen, B.; Konopleva, I.; Loginov, B. 2 2003 On the application of continuous groups in the theory of branching. Zbl 0227.47049 Loginov, B. V.; Trenogin, V. A. 2 1971 Computer solution of the branching equation allowing group symmetry. Zbl 1108.74021 Makeev, Oleg; Loginov, Boris 2 2005 A general approach to the investigation of the bifurcation of the origin of a cycle in conditions of group symmetry. Zbl 0729.58036 Loginov, B. V. 2 1990 Group analysis methods for construction and investigation of the bifurcation equation. Zbl 0795.58035 Loginov, B. V. 2 1992 Capillary-gravity waves over a flat surface. Zbl 0862.76006 Loginov, B. V.; Kuznetsov, A. O. 2 1996 Differential equations with degenerated variable operator at the derivative. Zbl 1327.34114 Loginov, B. V.; Rousak, Y. B.; Kim-Tyan, L. R. 2 2015 The pseudoperturbation method in generalized eigenvalue problems. Zbl 1156.47025 Loginov, B. V.; Makeeva, O. V. 2 2008 On the the branching of periodical solutions of inhomogeneous linear differential equations with degenerate or identity operator at the derivative with perturbation in the form of small linear term. Zbl 1374.47093 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 2 2016 Stability of bifurcating solutions. Zbl 0673.34064 Loginov, B. V.; Kim-Tyan, L. P. 1 1988 Computation of periodic solutions in the problem of capillary-gravity waves in a three-dimensional layer of a floating fluid. Zbl 1218.76010 Loginov, B. V.; Karpova, S. A. 1 1997 On reduction of the order of the branching equation in conditions of group invariance. Zbl 0489.58008 Loginov, B. V. 1 1981 On the stability of solutions of the problem about bifurcation points. Zbl 0497.47036 Loginov, B. V. 1 1980 On the use of vector invariants for determining the general form of a bifurcation equation under group invariance conditions. Zbl 0501.58014 Loginov, B. V. 1 1981 Construction of the asymptotics of solutions of a nonlinear boundary value problem for a fourth order differential equation with two bifurcation parameters. Zbl 1267.34035 Badokina, Tat’yana Evgen’evna; Loginov, Boris Vladimirovich; Rusak, Yuriǐ 1 2012 Bifurcation and symmetry in differential equations non-resolved with respect to derivative. Zbl 1265.34144 Loginov, Boris V.; Makeev, Oleg V.; Konopleva, Irina V.; Rousak, Yuri B. 1 2007 Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces. Zbl 1265.37021 Kim-Tyan, Luiza R.; Loginov, Boris V.; Rousak, Youri B. 1 2010 Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations. Zbl 1194.34071 Konopleva, I. V.; Loginov, B. V. 1 2009 Symmetry and potentiality in the general problem of the branching theory. Zbl 1183.47058 Loginov, B. V.; Konopleva, I. V.; Rusak, Yu. B. 1 2006 Symmetry of resolving systems in degenerated functional equations. Zbl 0969.34056 Loginov, B. V.; Konopleva, I. V. 1 2000 Branching of solutions of nonlinear equations and group symmetry. Zbl 1070.47523 Loginov, B. V. 1 1998 Existence theorems for bifurcation in the presence of one generalized Jordan chain of odd length. Zbl 1002.47501 Loginov, B. V.; Sidorov, N. A.; Rusak, Yu. B. 1 1997 Über die Eigenwerte und -vektoren des gestörten Operators. Zbl 0153.16901 Loginov, B. V.; Pospeev, V. E. 1 1967 On the determination of a bifurcation equation by its symmetry group. Zbl 0821.58010 Loginov, B. V. 1 1993 Employment of group invariance in branching theory. Zbl 0332.47035 Loginov, B. V.; Trenogin, V. A. 1 1976 Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method. Zbl 0333.47008 Loginov, B. V.; Sidorov, N. A. 1 1976 Symmetry of \(SO(2)\) and \(SH(2)\) in Poincaré-Andronov-Hopf bifurcation problems with potential branching equations. Zbl 1164.37004 Konopleva, I. V.; Loginov, B. V.; Makeev, O. V.; Rousak, Yu. B. 1 2008 Strip-plate divergence as bifurcational problem with two spectral parameters. Zbl 1084.74021 Loginov, B. V.; Tsyganov, A. V.; Kozhevnikova, O. V. 1 2005 Bifurcating solutions stability at Andronov-Hopf bifurcation for differential equations with degenerate operator of the derivative. Zbl 1063.37046 Kim-Tyan, L. R.; Loginov, B. V.; Makarov, M. Yu. 1 2004 Stability of periodic solutions and Newton diagram method. Zbl 1071.37030 Kim-Tyan, L. R.; Loginov, B. V.; Makarov, M. Yu. 1 2004 Potentially, group symmetry and bifurcation in the theory of branching equation. Zbl 0729.47060 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1990 Bifurcation and stability in some problems of continuum mechanics. Zbl 0888.76031 Loginov, B. V.; Trenogin, V. A.; Vel’misov, P. A. 1 1996 Bifurcation, potentiality, group-theoretical and iterative methods. Zbl 0889.47033 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1996 Über Probleme der Verzweigungstheorie, die bezüglich der Bewegungsgruppe des \(\mathbb{R}^S\) invariant sind. Zbl 0392.47039 Loginov, B. V. 1 1978 Modification of the Lyapunov-Schmidt method and the stability of solutions of differential equations with a singular operator of finite index multiplying the derivative. Zbl 0815.34056 Loginov, B. V.; Kim-Tyan, L. R.; Rusak, Yu. B. 1 1993 Group symmetry bifurcation problem with Schmidt spectrum in the linearization. Zbl 1350.37059 Loginov, B. V.; Konopleva, I. V. 1 2012 On spectral problem for Laplace operator in domain with perturbed boundaries. Zbl 1313.47031 Loginov, Boris V.; Rakhimov, Davran G. 1 2013 Branching equations potentiality conditions for Andronov-Hopf bifurcation. Zbl 1313.37052 Loginov, Boris V.; Kim-Tyan, Luiza R. 1 2011 Comments to the problems on perturbations of linear equations by small linear summands and spectral characteristics of Fredholm operator. Zbl 1340.47015 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 1 2013 Comments to the problem on the branching of periodical solutions at Andronov-Hopf bifurcation in differential equations with degenerate operator in front of the derivative. Zbl 1340.47027 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 1 2014 Models of multiparameter bifurcations in boundary value problems for ODEs of the fourth-order on divergence of elongated plate in supersonic gas flow. Zbl 1336.34027 Badokina, T. E.; Loginov, B. V. 1 2015 Normal forms for generate non-autonomous differential equations in the spaces \(\mathbb{R}^{n}\), \(n=2,3,4\). Zbl 1374.34128 Loginov, B. V.; Rousak, Yu. B.; Kim-Tyan, L. R. 1 2014 Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349 Karasözen, Bülent; Konopleva, Irina; Loginov, Boris 1 2003 Some consequences of the generalized Hamilton-Cayley theorem for matrices polynomially dependent on E. Schmidt spectral parameter. Zbl 1340.15015 Kuvshinova, Anastasia N.; Loginov, Boris V. 1 2014 On the stability of stationary and periodic solutions of equations with degenerate operator at the highest derivative. Zbl 1002.58010 Loginov, B. V.; Rousak, Yu. B.; Makarov, M. Yu. 1 2000 The branching of periodic solutions of inhomogeneous linear differential equations with a perturbation in the form of small linear term with delay. Zbl 1524.34170 Shamanaev, P. A.; Loginov, B. V. 1 2016 Branching equations in the root-subspaces and potentiality conditions for them, for Andronov-Hopf bifurcation. II. Zbl 1299.37048 Loginov, Boris V.; Kim-Tyan, Luiza R. 1 2012 Methods of bifurcation theory in multiparameter problems of hydroaeroelasticity. Zbl 1433.34057 Badokina, T. E.; Begmatov, A. B.; Vel’misov, P. A.; Loginov, B. V. 4 2018 On the the branching of periodical solutions of inhomogeneous linear differential equations with degenerate or identity operator at the derivative with perturbation in the form of small linear term. Zbl 1374.47093 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 2 2016 The branching of periodic solutions of inhomogeneous linear differential equations with a perturbation in the form of small linear term with delay. Zbl 1524.34170 Shamanaev, P. A.; Loginov, B. V. 1 2016 Differential equations with degenerated variable operator at the derivative. Zbl 1327.34114 Loginov, B. V.; Rousak, Y. B.; Kim-Tyan, L. R. 2 2015 Models of multiparameter bifurcations in boundary value problems for ODEs of the fourth-order on divergence of elongated plate in supersonic gas flow. Zbl 1336.34027 Badokina, T. E.; Loginov, B. V. 1 2015 Comments to the problem on the branching of periodical solutions at Andronov-Hopf bifurcation in differential equations with degenerate operator in front of the derivative. Zbl 1340.47027 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 1 2014 Normal forms for generate non-autonomous differential equations in the spaces \(\mathbb{R}^{n}\), \(n=2,3,4\). Zbl 1374.34128 Loginov, B. V.; Rousak, Yu. B.; Kim-Tyan, L. R. 1 2014 Some consequences of the generalized Hamilton-Cayley theorem for matrices polynomially dependent on E. Schmidt spectral parameter. Zbl 1340.15015 Kuvshinova, Anastasia N.; Loginov, Boris V. 1 2014 On spectral problem for Laplace operator in domain with perturbed boundaries. Zbl 1313.47031 Loginov, Boris V.; Rakhimov, Davran G. 1 2013 Comments to the problems on perturbations of linear equations by small linear summands and spectral characteristics of Fredholm operator. Zbl 1340.47015 Kyashkin, A. A.; Loginov, B. V.; Shamanaev, P. A. 1 2013 Construction of the asymptotics of solutions of a nonlinear boundary value problem for a fourth order differential equation with two bifurcation parameters. Zbl 1267.34035 Badokina, Tat’yana Evgen’evna; Loginov, Boris Vladimirovich; Rusak, Yuriǐ 1 2012 Group symmetry bifurcation problem with Schmidt spectrum in the linearization. Zbl 1350.37059 Loginov, B. V.; Konopleva, I. V. 1 2012 Branching equations in the root-subspaces and potentiality conditions for them, for Andronov-Hopf bifurcation. II. Zbl 1299.37048 Loginov, Boris V.; Kim-Tyan, Luiza R. 1 2012 Branching equations potentiality conditions for Andronov-Hopf bifurcation. Zbl 1313.37052 Loginov, Boris V.; Kim-Tyan, Luiza R. 1 2011 Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces. Zbl 1265.37021 Kim-Tyan, Luiza R.; Loginov, Boris V.; Rousak, Youri B. 1 2010 Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations. Zbl 1194.34071 Konopleva, I. V.; Loginov, B. V. 1 2009 Green function construction for divergence problems in aeroelasticity. Zbl 1265.74033 Badokina, Tatiana E.; Loginov, Boris V.; Makeeva, Olga V. 2 2008 The pseudoperturbation method in generalized eigenvalue problems. Zbl 1156.47025 Loginov, B. V.; Makeeva, O. V. 2 2008 Symmetry of \(SO(2)\) and \(SH(2)\) in Poincaré-Andronov-Hopf bifurcation problems with potential branching equations. Zbl 1164.37004 Konopleva, I. V.; Loginov, B. V.; Makeev, O. V.; Rousak, Yu. B. 1 2008 On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative. Zbl 1153.34034 Kim-Tyan, L. R.; Loginov, B. V.; Rousak, Yu. B. 2 2007 Bifurcation and symmetry in differential equations non-resolved with respect to derivative. Zbl 1265.34144 Loginov, Boris V.; Makeev, Oleg V.; Konopleva, Irina V.; Rousak, Yuri B. 1 2007 Symmetry and potentiality in the general problem of the branching theory. Zbl 1183.47058 Loginov, B. V.; Konopleva, I. V.; Rusak, Yu. B. 1 2006 Computer solution of the branching equation allowing group symmetry. Zbl 1108.74021 Makeev, Oleg; Loginov, Boris 2 2005 Strip-plate divergence as bifurcational problem with two spectral parameters. Zbl 1084.74021 Loginov, B. V.; Tsyganov, A. V.; Kozhevnikova, O. V. 1 2005 Bifurcating solutions stability at Andronov-Hopf bifurcation for differential equations with degenerate operator of the derivative. Zbl 1063.37046 Kim-Tyan, L. R.; Loginov, B. V.; Makarov, M. Yu. 1 2004 Stability of periodic solutions and Newton diagram method. Zbl 1071.37030 Kim-Tyan, L. R.; Loginov, B. V.; Makarov, M. Yu. 1 2004 Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators. Zbl 1045.58008 Karasözen, B.; Konopleva, I.; Loginov, B. 2 2003 Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative. Zbl 1147.34349 Karasözen, Bülent; Konopleva, Irina; Loginov, Boris 1 2003 Lyapunov-Schmidt methods in nonlinear analysis and applications. Zbl 1027.47001 Sidorov, N.; Loginov, B.; Sinitsyn, A.; Falaleev, M. 54 2002 Development of M. K. Gavurin’s pseudoperturbation method. Zbl 0974.47015 Loginov, B. V.; Rakhimov, D. G.; Sidorov, N. A. 2 2000 Symmetry of resolving systems in degenerated functional equations. Zbl 0969.34056 Loginov, B. V.; Konopleva, I. V. 1 2000 On the stability of stationary and periodic solutions of equations with degenerate operator at the highest derivative. Zbl 1002.58010 Loginov, B. V.; Rousak, Yu. B.; Makarov, M. Yu. 1 2000 Branching equation in the root subspace. Zbl 0949.47051 Loginov, B. V. 4 1998 Branching of solutions of nonlinear equations and group symmetry. Zbl 1070.47523 Loginov, B. V. 1 1998 Determination of the branching equation by its group symmetry – Andronov-Hopf bifurcation. Zbl 0870.34043 Loginov, B. V. 5 1997 Branching equation of Andronov-Hopf bifurcation under group symmetry conditions. Zbl 0935.34034 Loginov, B. V.; Trenogin, V. A. 3 1997 Computation of periodic solutions in the problem of capillary-gravity waves in a three-dimensional layer of a floating fluid. Zbl 1218.76010 Loginov, B. V.; Karpova, S. A. 1 1997 Existence theorems for bifurcation in the presence of one generalized Jordan chain of odd length. Zbl 1002.47501 Loginov, B. V.; Sidorov, N. A.; Rusak, Yu. B. 1 1997 Capillary-gravity waves over a flat surface. Zbl 0862.76006 Loginov, B. V.; Kuznetsov, A. O. 2 1996 Bifurcation and stability in some problems of continuum mechanics. Zbl 0888.76031 Loginov, B. V.; Trenogin, V. A.; Vel’misov, P. A. 1 1996 Bifurcation, potentiality, group-theoretical and iterative methods. Zbl 0889.47033 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1996 Bifurcating equation in the root spaces: group symmetry and potentiality. Zbl 0990.47053 Loginov, B. V. 2 1994 On the determination of a bifurcation equation by its symmetry group. Zbl 0821.58010 Loginov, B. V. 1 1993 Modification of the Lyapunov-Schmidt method and the stability of solutions of differential equations with a singular operator of finite index multiplying the derivative. Zbl 0815.34056 Loginov, B. V.; Kim-Tyan, L. R.; Rusak, Yu. B. 1 1993 Group symmetry of the Lyapunov-Schmidt branching equation and iterative methods in the problem of a bifurcation point. Zbl 0807.58008 Loginov, B. V.; Sidorov, N. A. 7 1992 Group analysis methods for construction and investigation of the bifurcation equation. Zbl 0795.58035 Loginov, B. V. 2 1992 Generalized Jordan structure in the problem of the stability of bifurcation solutions. (Generalized Jordan structure in the problem of the stability of bifurcating solutions.) Zbl 0739.34045 Loginov, B. V.; Rusak, Yu. B. 11 1991 A general approach to the investigation of the bifurcation of the origin of a cycle in conditions of group symmetry. Zbl 0729.58036 Loginov, B. V. 2 1990 Potentially, group symmetry and bifurcation in the theory of branching equation. Zbl 0729.47060 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1990 On stability of solutions of differential equations with the degenerate operator of the derivative. Zbl 0655.34043 Loginov, B. V. 3 1988 On the spectrum of a Bitsadze-Samarskij problem. Zbl 0683.35065 Loginov, B. V.; Nagornyj, A. M. 3 1988 On bifurcation of periodic solutions of nonlinearly perturbed elliptic equations. Zbl 0703.35016 Loginov, B. V.; Sabirova, S. G. 3 1988 Stability of bifurcating solutions. Zbl 0673.34064 Loginov, B. V.; Kim-Tyan, L. P. 1 1988 Branching theory for the solutions of nonlinear equations under conditions of group invariance. (Teoriya vetvleniya reshenij nelinejnykh uravnenij v usloviyakh gruppovoj invariantnosti). Zbl 0593.58028 Loginov, B. V. 11 1985 On reduction of the order of the branching equation in conditions of group invariance. Zbl 0489.58008 Loginov, B. V. 1 1981 On the use of vector invariants for determining the general form of a bifurcation equation under group invariance conditions. Zbl 0501.58014 Loginov, B. V. 1 1981 On the stability of solutions of the problem about bifurcation points. Zbl 0497.47036 Loginov, B. V. 1 1980 Über Probleme der Verzweigungstheorie, die bezüglich der Bewegungsgruppe des \(\mathbb{R}^S\) invariant sind. Zbl 0392.47039 Loginov, B. V. 1 1978 Employment of group invariance in branching theory. Zbl 0332.47035 Loginov, B. V.; Trenogin, V. A. 1 1976 Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method. Zbl 0333.47008 Loginov, B. V.; Sidorov, N. A. 1 1976 Über die Verwendung der Gruppeninvarianz in der Verzweigungstheorie. Zbl 0314.47039 Loginov, B. V.; Trenogin, V. A. 4 1975 The use of group properties to determine multi-parameter families of solutions of nonlinear equations. Zbl 0238.47046 Loginov, B. V.; Trenogin, V. A. 6 1972 The use of group properties to determine multi-parameter families of solutions of nonlinear equations. Zbl 0221.47040 Loginov, B. V.; Trenogin, V. A. 5 1971 On the application of continuous groups in the theory of branching. Zbl 0227.47049 Loginov, B. V.; Trenogin, V. A. 2 1971 Über die Eigenwerte und -vektoren des gestörten Operators. Zbl 0153.16901 Loginov, B. V.; Pospeev, V. E. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 89 Authors 21 Sidorov, Nikolaĭ Aleksandrovich 17 Loginov, Boris Vladimirovich 15 Sidorov, Denis Nikolaevich 7 Falaleev, Mikhail Valentinovich 5 Kim-Tyan, Luiza Revmirovna 5 Rusak, Yuriĭ Borisovich 4 Sviridyuk, Georgiĭ Anatol’evich 3 Fëdorov, Vladimir Evgen’evich 3 Konopleva, Irìna Viktorovna 3 Plekhanova, Marina Vasil’evna 3 Rakhimov, Davran Ganiyevich 3 Sinitsyn, Aleksandr Vladimirovich 3 Vel’misov, Petr Aleksandrovich 2 Ankilov, Andreĭ Vladimirovich 2 Ashbaugh, Mark S. 2 Badokina, Tat’yana Evgen’evna 2 Dreglea Sidorov, Lev Ryan D. 2 Gentile, Guido 2 Gesztesy, Fritz 2 Mischaikow, Konstantin 2 Mitrea, Marius 2 Sukacheva, Tamara Gennad’evna 2 Teschl, Gerald 2 Trenogin, Vladilen Aleksandrovich 2 Tulenov, Kanat Serikovich 2 Vaia, Faenia 2 Wanner, Thomas 1 Aliyeva, Yagut N. 1 Andronov, Artyom Nikolaevich 1 Avilovich, Anna Sergeevna 1 Baybulatova, Guzel D. 1 Begmatov, A. B. 1 Begmatov, Abdumajid S. 1 Boĭchuk, Oleksandr Andriĭovych 1 Borel, Lidiya Viktorovna 1 Bychkov, Evgeniĭ Viktorovich 1 Dancer, Edward Norman 1 Desyaev, Evgeniĭ Vasil’evich 1 Dreglya, Alena Ivanovna 1 Ehrenstein, Uwe 1 Franck, Isabell M. 1 Guo, Haimo 1 Hărăguş-Courcelle, Mariana 1 Il’ichev, Andreĭ Teĭmurazovich 1 Izhberdeeva, Elizabeta Monirovna 1 Kadhim, H. K. 1 Kakharman, Nurbek 1 Karamova, A. F. 1 Keller, Alevtina Viktorovna 1 Klyueva, N. V. 1 Kondyukov, Alekseĭ Olegovich 1 Kosov, Aleksandr Arkad’evich 1 Koutsourelakis, Phaedon-Stelios 1 Krasnik, A. V. 1 Leont’ev, Roman Yur’evich 1 Li, Yong 1 Makarenko, Nikolay I. 1 Makeev, Oleg V. 1 Makeeva, Olga V. 1 Makridin, Zakhar V. 1 Matveeva, Ol’ga Pavlovna 1 Mazzoccoli, Alessandro 1 Morshneva, I. V. 1 Muftahov, Ildar Rinatovich 1 Orlov, Sergey Sergeevich 1 Peshkhoev, Isa M. 1 Pokutnyĭ, Oleksandr Olekseevich 1 Recke, Lutz 1 Romanova, Olga Aleksandrovna 1 Sagadeeva, Minzilya Almasovna 1 Sapronov, Yuriĭ Ivanovich 1 Sattinger, David H. 1 Semenov, Edward Ivanovich 1 Shamanaev, Pavel A. 1 Shamanaev, Pavel Anatol’evich 1 Shemetova, Valentina Vladimirovna 1 Shterenberg, Roman G. 1 Soldatov, I. N. 1 Soldatova, Ekaterina Aleksandrovna 1 Stolyar, Alexander M. 1 Trufanov, Andrej Viktorovich 1 Yudovich, Viktor Iosifovich 1 Zagrebina, Sof’ya Aleksandrovna 1 Zakharova, T. A. 1 Zamyshlyaeva, Alena Aleksandrovna 1 Zhang, Meirong 1 Zhu, Yi 1 Zhumanova, L. K. 1 Zhumanova, Lyazzat all top 5 Cited in 42 Serials 14 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 13 Differential Equations 5 Siberian Mathematical Journal 5 Russian Mathematics 5 Doklady Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Mathematical Notes 3 Lobachevskii Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 The Annals of Applied Probability 2 Journal of Mathematical Sciences (New York) 2 Proceedings of the Steklov Institute of Mathematics 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Journal of Applied Mechanics and Technical Physics 1 Chaos 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Trudy Instituta Matematiki 1 Complex Variables and Elliptic Equations 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Problemy Analiza. Issues of Analysis 1 Journal of Siberian Federal University. Mathematics & Physics 1 Advances in Operator Theory all top 5 Cited in 27 Fields 38 Ordinary differential equations (34-XX) 36 Operator theory (47-XX) 31 Partial differential equations (35-XX) 16 Integral equations (45-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Fluid mechanics (76-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 5 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year