Edit Profile (opens in new tab) Tikhonov, Ivan Vladimirovich Co-Author Distance Author ID: tikhonov.ivan-vladimirovich Published as: Tikhonov, I. V.; Tikhonov, Ivan Vladimirovich; Tikhonov, Ivan V.; Tikhonov, Ivan more...less Documents Indexed: 43 Publications since 1986 Co-Authors: 22 Co-Authors with 36 Joint Publications 131 Co-Co-Authors all top 5 Co-Authors 7 single-authored 10 Sherstyukov, Vladimir Borisovich 7 Èĭdelman, Yu. S. 5 Prilepko, Alekseĭ Ivanovich 4 Tsvetkovich, Diana Goranovna 3 Almohamed, Muataz 3 Popov, Anton Yur’evich 3 Vu Nguyen Son Tung 2 Okorochkov, Ivan Vladimirovich 1 Adzhieva, Tat’yana Zagirovna 1 Bogdanov, Yu. I. 1 Gavrichenko, A. K. 1 Gavris’, Yuliya Vasil’evna 1 Karev, Aleksandr Valer’evich 1 Kostin, Andrey B. 1 Kulik, Sergeĭ Pavlovich 1 Mikhajlova, Tamara 1 Moreva, E. V. 1 Nikiforov, Igor V. 1 Petrosova, Magarita Arsenovna 1 Petrosova, Margarita Arsenova 1 Petrosova, Margarita Arsenovna 1 Podoroga, Anastasiya Vladimirovna all top 5 Serials 6 Differential Equations 4 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 3 Mathematical Notes 3 Doklady Mathematics 3 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Journal of Mathematical Sciences (New York) 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Russian Mathematical Surveys 1 Differential Equations 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Moscow University Computational Mathematics and Cybernetics 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Fundamental’naya i Prikladnaya Matematika 1 Abstract and Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Applied Mathematics & Information Sciences 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Matematicheskie Zametki SVFU all top 5 Fields 20 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 9 Operator theory (47-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 4 Combinatorics (05-XX) 3 Special functions (33-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 198 times in 114 Documents Cited by ▼ Year ▼ Uniqueness theorems in linear nonlocal problems for abstract differential equations. Zbl 1073.34071 Tikhonov, I. V. 25 2003 An inverse problem for a differential equation in a Banach space and the distribution of zeros of an entire Mittag-Leffler function. Zbl 1033.34017 Tikhonov, I. V.; Èĭdelman, Yu. S. 23 2002 Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term. Zbl 1084.34008 Tikhonov, I. V.; Èĭdel’man, Yu. S. 16 2005 Recovery of the nonhomogeneous term in an abstract evolution equation. Zbl 0826.47028 Prilepko, A. I.; Tikhonov, I. V. 15 1994 Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form. Zbl 0836.34060 Tikhonov, I. V.; Èĭdelman, Yu. S. 15 1994 Solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space. Zbl 1075.34522 Tikhonov, I. V. 14 1998 The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem. Zbl 0961.35179 Prilepko, A. I.; Tikhonov, I. V. 10 1999 Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation. Zbl 0792.34011 Prilepko, A. I.; Tikhonov, I. V. 8 1992 The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter. Zbl 0990.34012 Tikhonov, I. V.; Èĭdel’man, Yu. S. 7 2000 Comparative analysis of two-sided estimates of the central binomial coefficient. Zbl 1475.62117 Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 7 2020 An inverse problem with final time additional condition for an abstract evolution equation in an ordered Banach space. Zbl 0786.34026 Prilepko, A. I.; Tikhonov, I. V. 4 1993 Solvability of a nonlocal problem for an evolution equation with a superstable semigroup. Zbl 1447.34060 Tikhonov, I. V.; Vu Nguyen Son Tung 4 2020 Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages. Zbl 1148.35327 Popov, A. Yu; Tikhonov, I. V. 4 2005 Gluing rule for Bernstein polynomials on the symmetric interval. Zbl 1331.41039 Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Petrosova, Margarita Arsenova 4 2015 A generalized Ward problem for abstract differential equations. Zbl 1094.34040 Tikhonov, I. V. 4 2005 How do attractors of zeros for classical Bernstein polynomials look like. Zbl 1538.30014 Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Tsvetkovich, Diana Goranovna 4 2017 Uniqueness classes in a time-nonlocal problem for the heat equation and complex eigenfunctions of the Laplace operator. Zbl 1070.35012 Popov, A. Yu.; Tikhonov, I. V. 3 2004 On the connection between inverse problems with final and integral overdetermination. Zbl 0791.34015 Tikhonov, I. V. 3 1992 Bernstein polynomials for a standard module function on the symmetric interval. Zbl 1373.41002 Tikhonov, Ivan V.; Sherstyukov, Vladimir B.; Petrosova, Margarita A. 3 2016 Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation. Zbl 1424.35325 Tikhonov, I. V.; Vu Nguyen Son Tung 3 2017 Inverse problem with overdetermination of the third kind for an abstract second-order differential equation. Zbl 1515.34029 Tikhonov, I. V.; Almohamed, M. 2 2022 On periodic solutions of abstract differential equations. Zbl 1010.34053 Eidelman, Y. S.; Tikhonov, I. V. 2 2001 Inverse problems for evolution equations. Zbl 0788.35146 Prilepko, A. I.; Kostin, A. B.; Tikhonov, I. V. 2 1992 Computer analysis of the attractors of zeros for classical Bernstein polynomials. Zbl 07248432 Tikhonov, I. V.; Tsvetkovich, D. G.; Sherstyukov, V. B. 2 2020 Algebraic representation for Bernstein polynomials on the symmetric interval and combinatorial relations. Zbl 1463.41014 Petrosova, Magarita Arsenovna; Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich 2 2019 Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems. Zbl 1465.30007 Karev, Aleksandr Valer’evich; Tikhonov, Ivan Vladimirovich 1 2017 Specific cases of one general inverse problem for abstract differential equations. Zbl 1518.34018 Almohamed, M.; Tikhonov, I. V. 1 2023 Generalized Popoviciu expansions for Bernstein polynomials of a rational module. Zbl 1515.30033 Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 1 2022 A note on the abstract Cauchy problem. Zbl 0868.47028 Eidelman, Y. S.; Tikhonov, I. V. 1 1997 Well-posedness of an inverse problem with final overdetermination for the nonstationary transport equation. Zbl 0986.35503 Tikhonov, I. V. 1 1995 On the solvability of a linear inverse problem with final overdetermination in a Banach space of \(L^{1}\)-type. Zbl 0963.34008 Tikhonov, I. V. 1 1998 Spectral mapping theorems for point spectra for \(C_0\)-semigroups and their applications to uniqueness problems for abstract differential equations. Zbl 1127.47313 Tikhonov, I. V.; Èĭdelman, Yu. S. 1 2004 Exponential classes of uniqueness in heat conduction problems. Zbl 1246.35095 Popov, A. Yu.; Tikhonov, I. V. 1 2003 The method of solving the inverse problem for the evolution equation with a superstable semigroup. Zbl 1516.35538 Tikhonov, Ivan Vladimirovich; Vu Nguyen Son Tung 1 2017 Specific cases of one general inverse problem for abstract differential equations. Zbl 1518.34018 Almohamed, M.; Tikhonov, I. V. 1 2023 Inverse problem with overdetermination of the third kind for an abstract second-order differential equation. Zbl 1515.34029 Tikhonov, I. V.; Almohamed, M. 2 2022 Generalized Popoviciu expansions for Bernstein polynomials of a rational module. Zbl 1515.30033 Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 1 2022 Comparative analysis of two-sided estimates of the central binomial coefficient. Zbl 1475.62117 Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 7 2020 Solvability of a nonlocal problem for an evolution equation with a superstable semigroup. Zbl 1447.34060 Tikhonov, I. V.; Vu Nguyen Son Tung 4 2020 Computer analysis of the attractors of zeros for classical Bernstein polynomials. Zbl 07248432 Tikhonov, I. V.; Tsvetkovich, D. G.; Sherstyukov, V. B. 2 2020 Algebraic representation for Bernstein polynomials on the symmetric interval and combinatorial relations. Zbl 1463.41014 Petrosova, Magarita Arsenovna; Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich 2 2019 How do attractors of zeros for classical Bernstein polynomials look like. Zbl 1538.30014 Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Tsvetkovich, Diana Goranovna 4 2017 Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation. Zbl 1424.35325 Tikhonov, I. V.; Vu Nguyen Son Tung 3 2017 Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems. Zbl 1465.30007 Karev, Aleksandr Valer’evich; Tikhonov, Ivan Vladimirovich 1 2017 The method of solving the inverse problem for the evolution equation with a superstable semigroup. Zbl 1516.35538 Tikhonov, Ivan Vladimirovich; Vu Nguyen Son Tung 1 2017 Bernstein polynomials for a standard module function on the symmetric interval. Zbl 1373.41002 Tikhonov, Ivan V.; Sherstyukov, Vladimir B.; Petrosova, Margarita A. 3 2016 Gluing rule for Bernstein polynomials on the symmetric interval. Zbl 1331.41039 Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Petrosova, Margarita Arsenova 4 2015 Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term. Zbl 1084.34008 Tikhonov, I. V.; Èĭdel’man, Yu. S. 16 2005 Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages. Zbl 1148.35327 Popov, A. Yu; Tikhonov, I. V. 4 2005 A generalized Ward problem for abstract differential equations. Zbl 1094.34040 Tikhonov, I. V. 4 2005 Uniqueness classes in a time-nonlocal problem for the heat equation and complex eigenfunctions of the Laplace operator. Zbl 1070.35012 Popov, A. Yu.; Tikhonov, I. V. 3 2004 Spectral mapping theorems for point spectra for \(C_0\)-semigroups and their applications to uniqueness problems for abstract differential equations. Zbl 1127.47313 Tikhonov, I. V.; Èĭdelman, Yu. S. 1 2004 Uniqueness theorems in linear nonlocal problems for abstract differential equations. Zbl 1073.34071 Tikhonov, I. V. 25 2003 Exponential classes of uniqueness in heat conduction problems. Zbl 1246.35095 Popov, A. Yu.; Tikhonov, I. V. 1 2003 An inverse problem for a differential equation in a Banach space and the distribution of zeros of an entire Mittag-Leffler function. Zbl 1033.34017 Tikhonov, I. V.; Èĭdelman, Yu. S. 23 2002 On periodic solutions of abstract differential equations. Zbl 1010.34053 Eidelman, Y. S.; Tikhonov, I. V. 2 2001 The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter. Zbl 0990.34012 Tikhonov, I. V.; Èĭdel’man, Yu. S. 7 2000 The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem. Zbl 0961.35179 Prilepko, A. I.; Tikhonov, I. V. 10 1999 Solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space. Zbl 1075.34522 Tikhonov, I. V. 14 1998 On the solvability of a linear inverse problem with final overdetermination in a Banach space of \(L^{1}\)-type. Zbl 0963.34008 Tikhonov, I. V. 1 1998 A note on the abstract Cauchy problem. Zbl 0868.47028 Eidelman, Y. S.; Tikhonov, I. V. 1 1997 Well-posedness of an inverse problem with final overdetermination for the nonstationary transport equation. Zbl 0986.35503 Tikhonov, I. V. 1 1995 Recovery of the nonhomogeneous term in an abstract evolution equation. Zbl 0826.47028 Prilepko, A. I.; Tikhonov, I. V. 15 1994 Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form. Zbl 0836.34060 Tikhonov, I. V.; Èĭdelman, Yu. S. 15 1994 An inverse problem with final time additional condition for an abstract evolution equation in an ordered Banach space. Zbl 0786.34026 Prilepko, A. I.; Tikhonov, I. V. 4 1993 Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation. Zbl 0792.34011 Prilepko, A. I.; Tikhonov, I. V. 8 1992 On the connection between inverse problems with final and integral overdetermination. Zbl 0791.34015 Tikhonov, I. V. 3 1992 Inverse problems for evolution equations. Zbl 0788.35146 Prilepko, A. I.; Kostin, A. B.; Tikhonov, I. V. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 103 Authors 13 Tikhonov, Ivan Vladimirovich 11 Fëdorov, Vladimir Evgen’evich 11 Kostin, Andrey B. 9 Glushak, A. V. 7 Sherstyukov, Vladimir Borisovich 6 Nagumanova, Anna Viktorovna 6 Yuldashev, Tursun Kamaldinovich 5 Kamynin, Vitaly Leonidovich 5 Shcheglov, A. Yu 4 Almohamed, Muataz 3 Èĭdelman, Yu. S. 3 Eidelman, Yuli 3 Erdogan, Abdullah Said 3 Gemignani, Luca 3 Orlovskiĭ, Dmitriĭ Germanovich 3 Piskarëv, S. I. 2 Ashyralyev, Allaberen 2 Boito, Paola 2 Favini, Angelo 2 Kanguzhin, Baltabek Esmatovich 2 Kozhanov, Aleksandr Ivanovich 2 Lampret, Vito 2 Lopushans’ka, Galyna Petrovna 2 Lopushans’kyi, Andriy Olegovich 2 Petrosova, Margarita Arsenovna 2 Prilepko, Alekseĭ Ivanovich 2 Pyatkov, Sergeĭ Grigor’evich 2 Sabitov, Kamil’ Basirovich 2 Tsvetkovich, Diana Goranovna 2 Vu Nguyen Son Tung 1 Adzhieva, Tat’yana Zagirovna 1 Al-Horani, Mohammed 1 Andreyanova, O. A. 1 Ashurov, Ravshan Rajabovich 1 Ashyralyyev, Charyyar 1 Avilovich, Anna Sergeevna 1 Balakina, Ekaterina Yur’evna 1 Bekbolat, Bayan 1 Blinov, Petr A. 1 Bukhgeǐm, Alexandre L. 1 Celik, Emine 1 Craven, Thomas C. 1 Csordas, George 1 Demirdag, Oznur 1 Duc, Nguyen Van 1 Fabrizio, Mauro 1 Fedorova, Yu. Yu. 1 Gani, Tatiana V. 1 Gani, Vakhid A. 1 Gavris’, Yuliya Vasil’evna 1 Gol’dman, Nataliya L’vovna 1 Guidetti, Davide 1 Hamdi, Nabil 1 Henríquez Miranda, Hernán R. 1 Ivanova, Natal’ya Dmitrievna 1 Kalenyuk, Petro I. 1 Kalinina, N. I. 1 Karev, Aleksandr Valer’evich 1 Kien, Bui Trong 1 Kilichev, O. Sh. 1 Kohut, I. V. 1 Koroleva, Anna A. 1 Kostić, Marko 1 Kuduk, Gr. 1 Levenshtam, Valeriĭ Borisovich 1 Li, Miao 1 Li, Yulong 1 Lorenzi, Alfredo 1 Makarov, S. I. 1 Malnev, Alexander A. 1 Mehrez, Khaled 1 Mei, Jie 1 Melekhina, Dar’ya 1 Melikhov, Sergeĭ Nikolaevich 1 Minh, Luong Duy Nhat 1 Nazhimov, Roman R. 1 Netesov, S. V. 1 Novikov, Igor Yakovlevich 1 Nytrebych, Zinovii Mykolaiovych 1 Okorochkov, Ivan Vladimirovich 1 Petrosova, Magarita Arsenovna 1 Plekhanova, Marina Vasil’evna 1 Popov, Anton Yur’evich 1 Rogosin, Sergei V. 1 Shakarova, Marjona Dilshod qizi 1 Shaw, Sen-Yen 1 Sidorov, Stanislav Nikolaevich 1 Starovoitov, Victor Nikolayevich 1 Tanabe, Hiroki 1 Telyakovskiĭ, Alekseĭ Sergeevich 1 Thang, Nguyen Van 1 Thành, Nguyen Trung 1 Tokmagambetov, Niyaz Esenzholovich 1 Turov, Mikhail Mikhaĭlovich 1 Urazaeva, A. V. 1 Uvarova, Matrena Vladimirovna 1 Wang, Jinrong 1 Wei, Chunfu 1 Wei, Wei 1 Xiang, Xiaoling ...and 3 more Authors all top 5 Cited in 46 Serials 12 Journal of Mathematical Sciences (New York) 11 Mathematical Notes 10 Differential Equations 7 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 6 Siberian Mathematical Journal 5 Journal of Inverse and Ill-Posed Problems 4 Mathematical Methods in the Applied Sciences 4 Russian Mathematics 4 Lobachevskii Journal of Mathematics 3 Abstract and Applied Analysis 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Matematicheskie Zametki SVFU 2 Journal of Mathematical Analysis and Applications 2 Applied Numerical Mathematics 2 Computational Mathematics and Modeling 2 Fractional Calculus & Applied Analysis 2 Mediterranean Journal of Mathematics 1 Applicable Analysis 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Moscow University Computational Mathematics and Cybernetics 1 Computational Mathematics and Mathematical Physics 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Mathematical Inequalities & Applications 1 Matematicheskoe Modelirovanie 1 Communications on Pure and Applied Analysis 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Cubo 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Proyecciones 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Azerbaijan Journal of Mathematics 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 20 Fields 62 Partial differential equations (35-XX) 34 Ordinary differential equations (34-XX) 16 Special functions (33-XX) 15 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 7 Number theory (11-XX) 6 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year