Edit Profile (opens in new tab) Sapronov, Yuriĭ Ivanovich (b. 1947 d. 2018) Co-Author Distance Author ID: sapronov.yuri-i Published as: Sapronov, Yu. I.; Sapronov, Yuriĭ I.; Sapronov, Yuri I.; Sapronov, Yu I. more...less Further Spellings: Сапронов Юрий Иванович External Links: MGP · Math-Net.Ru Documents Indexed: 70 Publications since 1968 4 Contributions as Editor Biographic References: 2 Publications Co-Authors: 45 Co-Authors with 74 Joint Publications 878 Co-Co-Authors all top 5 Co-Authors 30 single-authored 7 Darinskii, Boris M. 6 Kostin, Vladimir Alekseevich 5 Borisovich, Yuriĭ Grigor’evich 5 Kolesnikova, I. V. 4 Gliklikh, Yuriĭ Evgen’evich 4 Zvyagin, Viktor Grigor’evich 3 Derunova, E. V. 3 Kostin, Dmitriĭ Vladimirovich 2 Birbrair, Lev 2 Borzakov, A. Yu. 2 Gnezdilov, A. V. 2 Karpova, A. P. 2 Obukhovskiĭ, Valeriĭ Vladimirovich 2 Tsarev, S. L. 2 Udodenko, N. N. 2 Valyukhov, S. G. 2 Zachepa, V. R. 1 Appel, Yu. 1 Belyh, F. A. 1 Bliznyakov, Nikolay Myhaylovich 1 Bukhonova, E. V. 1 Bukhshtaber, Viktor Matveevich 1 Burd, V. Sh. 1 Chemerzina, E. V. 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Ermolenko, V. N. 1 Fomenko, Anatoliĭ Timofeevich 1 Gerstein, V. M. 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Konev, Victor 1 Korotkih, A. S. 1 Kostina, Tat’yana Ivanovna 1 Kovaleva, Marina Igorevna 1 Kurbatov, Vitaliĭ Gennad’evich 1 Lemeshko, A. A. 1 Levchenko, O. N. 1 Mishchenko, Aleksandr Sergeevich 1 Mukhamadiev, Èrgashboĭ Mirzoevich 1 Petrova, L. P. 1 Potapov, A. S. 1 Pryadko, Irina N. 1 Sapronova, T. Yu. 1 Shvyreva, O. V. 1 Uvarova, N. S. all top 5 Serials 16 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Russian Mathematics 2 Matematicheskie Zametki 2 Functional Analysis and its Applications 2 Soviet Mathematics. Doklady 2 Journal of Mathematical Sciences (New York) 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Journal of Applied Mathematics and Mechanics 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Soviet Mathematics 1 Mathematics of the USSR, Sbornik 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Doklady Mathematics 1 Trudy Matematicheskogo Fakul’teta. Novaya Seriya. Voronezhskiĭ Gosudarstvennyĭ Universitet 1 Sovremennaya Matematika. Fundamental’nye Napravleniya 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika 1 Global and Stochastic Analysis all top 5 Fields 35 Global analysis, analysis on manifolds (58-XX) 20 Operator theory (47-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of deformable solids (74-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 6 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 4 History and biography (01-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 108 times in 78 Documents Cited by ▼ Year ▼ Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002 Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 42 1977 Finite-dimensional reductions of smooth extremal problems. Zbl 0888.58010 Sapronov, Yu. I. 10 1996 Bifurcations of extremals of Fredholm functionals. Zbl 1108.47055 Darinskiĭ, B. M.; Sapronov, Yu. I.; Tsarev, S. L. 9 2004 A contribution to the topological theory of condensing operators. Zbl 0176.45402 Borisovich, Yu. G.; Sapronov, Yu. I. 7 1968 On local analysis of nonlinear Fredholm equations. Zbl 0559.47046 Zachepa, V. R.; Sapronov, Yu. I. 5 1985 Maxwell-Fejér polynomials and optimization of polyharmonic impulse. Zbl 1264.93173 Kostin, V. A.; Kostin, D. V.; Sapronov, Yu. I. 4 2012 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004 Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 4 1977 On the topological theory of compactly restrictable mappings. Zbl 0266.47047 Borisovich, Yu. G.; Sapronov, Yu. I. 4 1969 Bifurcation of solutions of smooth Fredholm equations. Zbl 0526.58036 Sapronov, Yu. I. 3 1982 Global comparison of finite-dimensional reduction schemes in smooth variational problems. Zbl 1036.49019 Sapronov, Yu. I.; Tsarev, S. L. 3 2000 Optimization of a polyharmonic impulse. Zbl 1401.90217 Ermolenko, V. N.; Kostin, V. A.; Kostin, D. V.; Sapronov, Yu. I. 3 2012 On some topological invariants of nonlinear Fredholm mappings. Zbl 0223.58003 Borisovich, Yu. G.; Sapronov, Yu. I. 2 1971 Application of normalized key functions in a problem of branching of periodic extremals. Zbl 1339.34051 Derunova, E. V.; Sapronov, Yu. I. 2 2015 Nonlocal finite-dimensional reductions in variational boundary value problems. Zbl 0724.58025 Sapronov, Yu. I. 2 1991 Existence and comparison of finite-dimensional reduction for smooth functionals. Zbl 0908.65044 Sapronov, Yu. I. 1 1995 Morse-Bott reduction for a symmetric Kirchhoff rod. Zbl 0864.73030 Levchenko, O. N.; Sapronov, Yu. I. 1 1993 Local invertibility of nonlinear Fredholm mappings. Zbl 0264.47048 Sapronov, Yu. I. 1 1972 On angular singularities and multidimensional assemblies in nonlinear analysis. Zbl 0756.58011 Sapronov, Yu. I. 1 1989 Destruction of spherical symmetry in nonlinear variational problems. Zbl 0608.73025 Sapronov, Yu. I. 1 1986 Bifurcations of critical orbits of \(SO(2)\)-invariant Fredholm functionals at critical points with double resonances. Zbl 1296.47059 Sapronov, Yu. I.; Derunova, E. V. 1 2012 Two-mode bifurcation of solutions of the Kármán equation. Zbl 0703.35061 Sapronov, Yu. I. 1 1989 Branching of ferroelectric phase heterogeneous crystals of the 3-dimensional singular phase of the sixth order. Zbl 1475.82021 Darinskii, B. M.; Kolesnikova, I. V.; Sapronov, Yu. I. 1 2009 Application of normalized key functions in a problem of branching of periodic extremals. Zbl 1339.34051 Derunova, E. V.; Sapronov, Yu. I. 2 2015 Maxwell-Fejér polynomials and optimization of polyharmonic impulse. Zbl 1264.93173 Kostin, V. A.; Kostin, D. V.; Sapronov, Yu. I. 4 2012 Optimization of a polyharmonic impulse. Zbl 1401.90217 Ermolenko, V. N.; Kostin, V. A.; Kostin, D. V.; Sapronov, Yu. I. 3 2012 Bifurcations of critical orbits of \(SO(2)\)-invariant Fredholm functionals at critical points with double resonances. Zbl 1296.47059 Sapronov, Yu. I.; Derunova, E. V. 1 2012 Branching of ferroelectric phase heterogeneous crystals of the 3-dimensional singular phase of the sixth order. Zbl 1475.82021 Darinskii, B. M.; Kolesnikova, I. V.; Sapronov, Yu. I. 1 2009 Bifurcations of extremals of Fredholm functionals. Zbl 1108.47055 Darinskiĭ, B. M.; Sapronov, Yu. I.; Tsarev, S. L. 9 2004 Global comparison of finite-dimensional reduction schemes in smooth variational problems. Zbl 1036.49019 Sapronov, Yu. I.; Tsarev, S. L. 3 2000 Finite-dimensional reductions of smooth extremal problems. Zbl 0888.58010 Sapronov, Yu. I. 10 1996 Existence and comparison of finite-dimensional reduction for smooth functionals. Zbl 0908.65044 Sapronov, Yu. I. 1 1995 Morse-Bott reduction for a symmetric Kirchhoff rod. Zbl 0864.73030 Levchenko, O. N.; Sapronov, Yu. I. 1 1993 Nonlocal finite-dimensional reductions in variational boundary value problems. Zbl 0724.58025 Sapronov, Yu. I. 2 1991 On angular singularities and multidimensional assemblies in nonlinear analysis. Zbl 0756.58011 Sapronov, Yu. I. 1 1989 Two-mode bifurcation of solutions of the Kármán equation. Zbl 0703.35061 Sapronov, Yu. I. 1 1989 Destruction of spherical symmetry in nonlinear variational problems. Zbl 0608.73025 Sapronov, Yu. I. 1 1986 On local analysis of nonlinear Fredholm equations. Zbl 0559.47046 Zachepa, V. R.; Sapronov, Yu. I. 5 1985 Bifurcation of solutions of smooth Fredholm equations. Zbl 0526.58036 Sapronov, Yu. I. 3 1982 Non-linear Fredholm maps and the Leray-Schauder theory. Zbl 0383.58002 Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 42 1977 Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. Zbl 0358.58004 Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. 4 1977 Local invertibility of nonlinear Fredholm mappings. Zbl 0264.47048 Sapronov, Yu. I. 1 1972 On some topological invariants of nonlinear Fredholm mappings. Zbl 0223.58003 Borisovich, Yu. G.; Sapronov, Yu. I. 2 1971 On the topological theory of compactly restrictable mappings. Zbl 0266.47047 Borisovich, Yu. G.; Sapronov, Yu. I. 4 1969 A contribution to the topological theory of condensing operators. Zbl 0176.45402 Borisovich, Yu. G.; Sapronov, Yu. I. 7 1968 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 7 Sapronov, Yuriĭ Ivanovich 7 Sukacheva, Tamara Gennad’evna 5 Kostin, Dmitriĭ Vladimirovich 5 Obukhovskiĭ, Valeriĭ Vladimirovich 5 Zvyagin, Viktor Grigor’evich 4 Janczewska, Joanna 3 Kostina, Tat’yana Ivanovna 3 Nussbaum, Roger David 3 Pejsachowicz, Jacobo 3 Volpert, Vitaly A. 3 Zhurba, Aleksandr Vladimirovich 2 Baboshin, Sergeĭ Dmitrievich 2 Chemerzina, E. V. 2 Emelichev, Vladimir Alekseevich 2 Guze, Hanna 2 Hussain, Mudhir A. Abdul 2 Klimov, Vladimir Stepanovich 2 Kondyukov, Alekseĭ Olegovich 2 Korotkov, V. V. 2 Matveeva, Ol’ga Pavlovna 2 Rabier, Patrick J. 2 Raynaud de Fitte, Paul 2 Tsarev, S. L. 2 Yao, Jen-Chih 1 Akhmerov, Ramil R. 1 Aleksandrova, Ekaterina Evgen’evna 1 Ang, Dang Dinh 1 Aurich, Volker 1 Balboni, Ferrante 1 Bernard, Patrick 1 Bobylev, Nikolaĭ Antonovich 1 Borisovich, Andreĭ Yur’evich 1 Borisovich, Yuriĭ Grigor’evich 1 Borisovich, Yuri G. 1 Browder, Felix Earl 1 Church, Philip T. 1 Darinskii, Boris M. 1 Derunova, E. V. 1 Dinh Ngoc Thanh 1 Dmitrienko, Vladimir Timofeevich 1 Duong Minh Duc 1 Dymarskij, Ya. M. 1 Dymkowska, Jolanta 1 Fink, James P. 1 Foiaș, Ciprian 1 Gel’man, Boris Danielovich 1 Getmanova, Ekaterina Nikolaevna 1 Hofer, Helmut H. W. 1 Ize, Jorge 1 Izydorek, Marek 1 Kadhim, H. K. 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Kolpakov, Ilia Yu. 1 Kornev, Sergeĭ Viktorovich 1 Korovin, Sergeĭ Konstantinovich 1 Kostin, Andrey Viktorovich 1 Kostin, Vladimir Alekseevich 1 Kutsenko, Irina 1 Lazzeri, Fulvio 1 Leon, Cristina 1 Liou, Yeongcheng 1 Marion, Martine 1 Massabó, Ivar 1 Micheletti, Anna Maria 1 Minaeva, Nadezhda Vital’evna 1 Mustafa, Nizami 1 Myshkis, Anatoliĭ Dmitrievich 1 Myznikov, A. S. 1 Nezir, Veysel 1 Nguyen Van Loi 1 Ni, Wei-Ming 1 Plastock, Roy 1 Potapov, A. S. 1 Ratiner, N. M. 1 Ratiner, Nadezhda 1 Reich, Simeon 1 Rheinboldt, Werner C. 1 Sadovskii, Boris Nikolaevich 1 Saut, Jean-Claude 1 Shashkin, Alexander Ivanoviz 1 Skrypnyk, Igor Volodymyrovych 1 Soltanov, Kamal N. 1 Stenyukhin, Leonid V. 1 Sviridyuk, Georgiĭ Anatol’evich 1 Szymczak, Czesław 1 Timourian, J. G. 1 Vainikko, Gennadi 1 Vignoli, Alfonso 1 Vougalter, Vitali 1 Waterstraat, Nils 1 Zecca, Pietro 1 Zgorzelska, Anita all top 5 Cited in 42 Serials 10 Journal of Mathematical Sciences (New York) 7 Mathematical Notes 4 Journal of Soviet Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Mathematical Analysis and Applications 3 Russian Mathematics 3 Differential Equations 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 Journal d’Analyse Mathématique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Trudy Instituta Matematiki 2 Nonlinear Analysis. Real World Applications 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Ukrainian Mathematical Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Functional Analysis 1 Matematički Vesnik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Sbornik: Mathematics 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Applied Mathematics E-Notes 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Set-Valued and Variational Analysis 1 Problemy Analiza. Issues of Analysis 1 Mechanics of Solids all top 5 Cited in 28 Fields 39 Operator theory (47-XX) 27 Partial differential equations (35-XX) 23 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 11 Mechanics of deformable solids (74-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Algebraic topology (55-XX) 7 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year