Edit Profile (opens in new tab) Orlov, Igor Vladimirovich Co-Author Distance Author ID: orlov.igor-v Published as: Orlov, I. V.; Orlov, Igor Vladimirovich; Orlov, Igor V.; Orlov, Igor’ V. more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 63 Publications since 1973, including 1 Book and 3 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 12 Co-Authors with 23 Joint Publications 166 Co-Co-Authors all top 5 Co-Authors 44 single-authored 5 Stonyakin, Fedor Sergeevich 4 Bozhonok, E. V. 4 Kopachevskiĭ, Nikolaĭ Dmitrievich 2 Baran, I. V. 2 Khalilova, Zarema I. 2 Kuzmenko, E. M. 2 Tsygankova, Anastasiya Vladimirovna 1 Bozhok, E. V. 1 Bozhonok, K. V. 1 Romanenko, Igor Alekseevich 1 Samoĭlenko, Yuriĭ Stefanovych 1 Smirnova, Svetlana Ivanovna all top 5 Serials 9 Journal of Mathematical Sciences (New York) 8 Dinamicheskie Sistemy (Simferopol’) 6 Methods of Functional Analysis and Topology 6 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 5 Mathematical Notes 5 Eurasian Mathematical Journal 2 Cybernetics and Systems Analysis 2 Tavricheskiĭ Vestnik Informatiki i Matematiki 2 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Matematicheskie Zametki 1 Functional Analysis and its Applications 1 Soviet Mathematics. Doklady 1 Dopovidi Akademiï Nauk Ukraïni 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Fields 33 Functional analysis (46-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 12 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 63 times in 23 Documents Cited by ▼ Year ▼ Compact variation, compact subdifferentiability and indefinite Bochner integral. Zbl 1199.26107 Orlov, I. V.; Stonyakin, F. S. 7 2009 Compact subdifferentials: the formula of finite increments and related topics. Zbl 1304.26003 Orlov, I. V.; Stonyakin, F. S. 7 2010 The limit form of the Radon-Nikodým property is true for all Fréchet spaces. Zbl 1439.46003 Orlov, I. V.; Stonyakin, F. S. 7 2012 Compact subdifferentials in Banach cones. Zbl 1301.49039 Orlov, Igor’ V.; Khalilova, Zarema I. 5 2014 Inverse and implicit function theorems in the class of subsmooth maps. Zbl 1362.47052 Orlov, Igor V. 5 2016 Strong compact properties of the mappings and K-Radon-Nikodym property. Zbl 1224.46086 Orlov, I. V.; Stonyakin, F. S. 4 2010 Hilbert compacts, compact ellipsoids, and compact extrema. Zbl 1307.46009 Orlov, I. V. 4 2010 Invertibility of multivalued sublinear operators. Zbl 1463.47149 Orlov, Igor Vladimirovich; Smirnova, Svetlana Ivanovna 4 2015 A formula for finite increments of mappings into inductive scales of spaces. Zbl 1081.46500 Orlov, I. V. 2 2001 Extreme problems and scales of the operator spaces. Zbl 1089.58004 Orlov, Igor V. 2 2004 Compact subdifferentials in Banach spaces and their applications to variational functionals. Zbl 1331.49021 Orlov, I. V.; Khalilova, Z. I. 2 2015 Embedding of a uniquely divisible abelian semigroup in a convex cone. Zbl 06828053 Orlov, Igor V. 2 2017 Compact extrema: a general theory and its applications to variational functionals. Zbl 1188.49020 Orlov, I. V. 2 2009 Hahn-Banach theorems in inductive scales of spaces. Zbl 0894.46003 Orlov, I. V. 1 1997 Normal differentiability and extrema of functionals in a locally convex space. Zbl 1029.46127 Orlov, I. V. 1 2002 Banach homomorphism theorem in inductive scale of spaces and its applications. Zbl 1070.46007 Orlov, I. V. 1 2004 Normal functional indices and normal duality. Zbl 1010.46002 Orlov, I. V. 1 2002 \(K\)-differentiability and \(K\)-extrema. Zbl 1151.49308 Orlov, Igor’ V. 1 2006 Banach-Zaretskiĭ theorem for compactly absolutely continuous mappings. Zbl 1439.46002 Orlov, I. V. 1 2012 The Legendre-Jacobi conditions for the compact extremes of integral functionals. Zbl 1113.49025 Bozhonok, K. V.; Orlov, I. V. 1 2006 Introduction to sublinear analysis. Zbl 1352.49015 Orlov, I. V. 1 2016 Multidimensional variational functionals with subsmooth integrands. Zbl 1463.49001 Orlov, Igor Vladimirovich; Tsygankova, Anastasiya Vladimirovna 1 2015 Compact-analytical properties of variational functional in Sobolev spaces \(W^{1,p}\). Zbl 1257.49002 Orlov, I. V. 1 2012 Embedding of a uniquely divisible abelian semigroup in a convex cone. Zbl 06828053 Orlov, Igor V. 2 2017 Inverse and implicit function theorems in the class of subsmooth maps. Zbl 1362.47052 Orlov, Igor V. 5 2016 Introduction to sublinear analysis. Zbl 1352.49015 Orlov, I. V. 1 2016 Invertibility of multivalued sublinear operators. Zbl 1463.47149 Orlov, Igor Vladimirovich; Smirnova, Svetlana Ivanovna 4 2015 Compact subdifferentials in Banach spaces and their applications to variational functionals. Zbl 1331.49021 Orlov, I. V.; Khalilova, Z. I. 2 2015 Multidimensional variational functionals with subsmooth integrands. Zbl 1463.49001 Orlov, Igor Vladimirovich; Tsygankova, Anastasiya Vladimirovna 1 2015 Compact subdifferentials in Banach cones. Zbl 1301.49039 Orlov, Igor’ V.; Khalilova, Zarema I. 5 2014 The limit form of the Radon-Nikodým property is true for all Fréchet spaces. Zbl 1439.46003 Orlov, I. V.; Stonyakin, F. S. 7 2012 Banach-Zaretskiĭ theorem for compactly absolutely continuous mappings. Zbl 1439.46002 Orlov, I. V. 1 2012 Compact-analytical properties of variational functional in Sobolev spaces \(W^{1,p}\). Zbl 1257.49002 Orlov, I. V. 1 2012 Compact subdifferentials: the formula of finite increments and related topics. Zbl 1304.26003 Orlov, I. V.; Stonyakin, F. S. 7 2010 Strong compact properties of the mappings and K-Radon-Nikodym property. Zbl 1224.46086 Orlov, I. V.; Stonyakin, F. S. 4 2010 Hilbert compacts, compact ellipsoids, and compact extrema. Zbl 1307.46009 Orlov, I. V. 4 2010 Compact variation, compact subdifferentiability and indefinite Bochner integral. Zbl 1199.26107 Orlov, I. V.; Stonyakin, F. S. 7 2009 Compact extrema: a general theory and its applications to variational functionals. Zbl 1188.49020 Orlov, I. V. 2 2009 \(K\)-differentiability and \(K\)-extrema. Zbl 1151.49308 Orlov, Igor’ V. 1 2006 The Legendre-Jacobi conditions for the compact extremes of integral functionals. Zbl 1113.49025 Bozhonok, K. V.; Orlov, I. V. 1 2006 Extreme problems and scales of the operator spaces. Zbl 1089.58004 Orlov, Igor V. 2 2004 Banach homomorphism theorem in inductive scale of spaces and its applications. Zbl 1070.46007 Orlov, I. V. 1 2004 Normal differentiability and extrema of functionals in a locally convex space. Zbl 1029.46127 Orlov, I. V. 1 2002 Normal functional indices and normal duality. Zbl 1010.46002 Orlov, I. V. 1 2002 A formula for finite increments of mappings into inductive scales of spaces. Zbl 1081.46500 Orlov, I. V. 2 2001 Hahn-Banach theorems in inductive scales of spaces. Zbl 0894.46003 Orlov, I. V. 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 9 Authors 16 Orlov, Igor Vladimirovich 7 Stonyakin, Fedor Sergeevich 2 Khalilova, Zarema I. 1 Baran, I. V. 1 Dolgopolik, Maxim Vladimirovich 1 Molnár, Gábor M. 1 Páles, Zsolt 1 Smirnova, Svetlana Ivanovna 1 Tsygankova, Anastasiya Vladimirovna all top 5 Cited in 6 Serials 11 Journal of Mathematical Sciences (New York) 5 Eurasian Mathematical Journal 4 Mathematical Notes 1 Semigroup Forum 1 Cybernetics and Systems Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations all top 5 Cited in 9 Fields 14 Functional analysis (46-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 5 Operator theory (47-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year