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 104 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) 6 Approximations and expansions (41-XX) 5 Number theory (11-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-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 30 Publications have been cited 142 times in 83 Documents Cited by ▼ Year ▼ Uniqueness theorems in linear nonlocal problems for abstract differential equations. Zbl 1073.34071Tikhonov, I. V. 17 2003 Recovery of the nonhomogeneous term in an abstract evolution equation. Zbl 0826.47028Prilepko, A. I.; Tikhonov, I. V. 15 1994 An inverse problem for a differential equation in a Banach space and the distribution of zeros of an entire Mittag-Leffler function. Zbl 1033.34017Tikhonov, I. V.; Èĭdelman, Yu. S. 13 2002 Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term. Zbl 1084.34008Tikhonov, I. V.; Èĭdel’man, Yu. S. 12 2005 Solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space. Zbl 1075.34522Tikhonov, I. V. 11 1998 The principle of the positiveness of a solution to a linear inverse problem and its application to the coefficient heat conduction problem. Zbl 0961.35179Prilepko, A. I.; Tikhonov, I. V. 11 1999 Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form. Zbl 0836.34060Tikhonov, I. V.; Èĭdelman, Yu. S. 10 1994 The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter. Zbl 0990.34012Tikhonov, I. V.; Èĭdel’man, Yu. S. 7 2000 An inverse problem with final time additional condition for an abstract evolution equation in an ordered Banach space. Zbl 0786.34026Prilepko, A. I.; Tikhonov, I. V. 5 1993 Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation. Zbl 0792.34011Prilepko, A. I.; Tikhonov, I. V. 5 1992 Solvability of a nonlocal problem for an evolution equation with a superstable semigroup. Zbl 1447.34060Tikhonov, I. V.; Vu Nguyen Son Tung 4 2020 How do attractors of zeros for classical Bernstein polynomials look like. Zbl 06892594Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Tsvetkovich, Diana Goranovna 3 2017 Gluing rule for Bernstein polynomials on the symmetric interval. Zbl 1331.41039Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Petrosova, Margarita Arsenova 3 2015 Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation. Zbl 1424.35325Tikhonov, I. V.; Vu Nguyen Son Tung 2 2017 On periodic solutions of abstract differential equations. Zbl 1010.34053Eidelman, Y. S.; Tikhonov, I. V. 2 2001 Uniqueness classes in a time-nonlocal problem for the heat equation and complex eigenfunctions of the Laplace operator. Zbl 1070.35012Popov, A. Yu.; Tikhonov, I. V. 2 2004 On the connection between inverse problems with final and integral overdetermination. Zbl 0791.34015Tikhonov, I. V. 2 1992 Bernstein polynomials for a standard module function on the symmetric interval. Zbl 1373.41002Tikhonov, Ivan V.; Sherstyukov, Vladimir B.; Petrosova, Margarita A. 2 2016 Inverse problems for evolution equations. Zbl 0788.35146Prilepko, A. I.; Kostin, A. B.; Tikhonov, I. V. 2 1992 A generalized Ward problem for abstract differential equations. Zbl 1094.34040Tikhonov, I. V. 2 2005 Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages. Zbl 1148.35327Popov, A. Yu; Tikhonov, I. V. 2 2005 Comparative analysis of two-sided estimates of the central binomial coefficient. Zbl 1475.62117Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 2 2020 Computer analysis of the attractors of zeros for classical Bernstein polynomials. Zbl 07248432Tikhonov, I. V.; Tsvetkovich, D. G.; Sherstyukov, V. B. 1 2020 The method of solving the inverse problem for the evolution equation with a superstable semigroup. Zbl 1516.35538Tikhonov, Ivan Vladimirovich; Vu Nguyen Son Tung 1 2017 Well-posedness of an inverse problem with final overdetermination for the nonstationary transport equation. Zbl 0986.35503Tikhonov, I. V. 1 1995 Generalized Popoviciu expansions for Bernstein polynomials of a rational module. Zbl 1515.30033Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 1 2022 Spectral mapping theorems for point spectra for \(C_0\)-semigroups and their applications to uniqueness problems for abstract differential equations. Zbl 1127.47313Tikhonov, I. V.; Èĭdelman, Yu. S. 1 2004 On the solvability of a linear inverse problem with final overdetermination in a Banach space of \(L^{1}\)-type. Zbl 0963.34008Tikhonov, I. V. 1 1998 Exponential classes of uniqueness in heat conduction problems. Zbl 1246.35095Popov, A. Yu.; Tikhonov, I. V. 1 2003 Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems. Zbl 1465.30007Karev, Aleksandr Valer’evich; Tikhonov, Ivan Vladimirovich 1 2017 Generalized Popoviciu expansions for Bernstein polynomials of a rational module. Zbl 1515.30033Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 1 2022 Solvability of a nonlocal problem for an evolution equation with a superstable semigroup. Zbl 1447.34060Tikhonov, I. V.; Vu Nguyen Son Tung 4 2020 Comparative analysis of two-sided estimates of the central binomial coefficient. Zbl 1475.62117Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. 2 2020 Computer analysis of the attractors of zeros for classical Bernstein polynomials. Zbl 07248432Tikhonov, I. V.; Tsvetkovich, D. G.; Sherstyukov, V. B. 1 2020 How do attractors of zeros for classical Bernstein polynomials look like. Zbl 06892594Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Tsvetkovich, Diana Goranovna 3 2017 Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation. Zbl 1424.35325Tikhonov, I. V.; Vu Nguyen Son Tung 2 2017 The method of solving the inverse problem for the evolution equation with a superstable semigroup. Zbl 1516.35538Tikhonov, Ivan Vladimirovich; Vu Nguyen Son Tung 1 2017 Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems. Zbl 1465.30007Karev, Aleksandr Valer’evich; Tikhonov, Ivan Vladimirovich 1 2017 Bernstein polynomials for a standard module function on the symmetric interval. Zbl 1373.41002Tikhonov, Ivan V.; Sherstyukov, Vladimir B.; Petrosova, Margarita A. 2 2016 Gluing rule for Bernstein polynomials on the symmetric interval. Zbl 1331.41039Tikhonov, Ivan Vladimirovich; Sherstyukov, Vladimir Borisovich; Petrosova, Margarita Arsenova 3 2015 Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term. Zbl 1084.34008Tikhonov, I. V.; Èĭdel’man, Yu. S. 12 2005 A generalized Ward problem for abstract differential equations. Zbl 1094.34040Tikhonov, I. V. 2 2005 Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages. Zbl 1148.35327Popov, A. Yu; Tikhonov, I. V. 2 2005 Uniqueness classes in a time-nonlocal problem for the heat equation and complex eigenfunctions of the Laplace operator. Zbl 1070.35012Popov, A. Yu.; Tikhonov, I. V. 2 2004 Spectral mapping theorems for point spectra for \(C_0\)-semigroups and their applications to uniqueness problems for abstract differential equations. Zbl 1127.47313Tikhonov, I. V.; Èĭdelman, Yu. S. 1 2004 Uniqueness theorems in linear nonlocal problems for abstract differential equations. Zbl 1073.34071Tikhonov, I. V. 17 2003 Exponential classes of uniqueness in heat conduction problems. Zbl 1246.35095Popov, 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 1033.34017Tikhonov, I. V.; Èĭdelman, Yu. S. 13 2002 On periodic solutions of abstract differential equations. Zbl 1010.34053Eidelman, 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 0990.34012Tikhonov, 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 0961.35179Prilepko, A. I.; Tikhonov, I. V. 11 1999 Solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space. Zbl 1075.34522Tikhonov, I. V. 11 1998 On the solvability of a linear inverse problem with final overdetermination in a Banach space of \(L^{1}\)-type. Zbl 0963.34008Tikhonov, I. V. 1 1998 Well-posedness of an inverse problem with final overdetermination for the nonstationary transport equation. Zbl 0986.35503Tikhonov, I. V. 1 1995 Recovery of the nonhomogeneous term in an abstract evolution equation. Zbl 0826.47028Prilepko, A. I.; Tikhonov, I. V. 15 1994 Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form. Zbl 0836.34060Tikhonov, I. V.; Èĭdelman, Yu. S. 10 1994 An inverse problem with final time additional condition for an abstract evolution equation in an ordered Banach space. Zbl 0786.34026Prilepko, A. I.; Tikhonov, I. V. 5 1993 Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation. Zbl 0792.34011Prilepko, A. I.; Tikhonov, I. V. 5 1992 On the connection between inverse problems with final and integral overdetermination. Zbl 0791.34015Tikhonov, I. V. 2 1992 Inverse problems for evolution equations. Zbl 0788.35146Prilepko, A. I.; Kostin, A. B.; Tikhonov, I. V. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 12 Tikhonov, Ivan Vladimirovich 10 Kostin, Andrey B. 8 Glushak, A. V. 7 Fëdorov, Vladimir Evgen’evich 5 Kamynin, Vitaly Leonidovich 5 Shcheglov, A. Yu 5 Sherstyukov, Vladimir Borisovich 3 Èĭdelman, Yu. S. 3 Nagumanova, Anna Viktorovna 3 Piskarëv, S. I. 3 Yuldashev, Tursun Kamaldinovich 2 Almohamed, Muataz 2 Eidelman, Yuli 2 Erdogan, Abdullah Said 2 Favini, Angelo 2 Gemignani, Luca 2 Orlovskiĭ, Dmitriĭ Germanovich 2 Prilepko, Alekseĭ Ivanovich 2 Tsvetkovich, Diana Goranovna 2 Vu Nguyen Son Tung 1 Adzhieva, Tat’yana Zagirovna 1 Al-Horani, Mohammed 1 Andreyanova, O. A. 1 Ashyralyev, Allaberen 1 Ashyralyyev, Charyyar 1 Boito, Paola 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 Gavris’, Yuliya Vasil’evna 1 Gol’dman, Nataliya L’vovna 1 Guidetti, Davide 1 Hamdi, Nabil 1 Ivanova, Natal’ya Dmitrievna 1 Kalenyuk, Petro I. 1 Kalinina, N. I. 1 Kanguzhin, Baltabek Esmatovich 1 Karev, Aleksandr Valer’evich 1 Kien, Bui Trong 1 Kohut, I. V. 1 Koroleva, Anna A. 1 Kostić, Marko 1 Kozhanov, Aleksandr Ivanovich 1 Kuduk, Gr. 1 Levenshtam, Valeriĭ Borisovich 1 Li, Miao 1 Li, Yulong 1 Lorenzi, Alfredo 1 Mei, Jie 1 Melikhov, Sergeĭ Nikolaevich 1 Minh, Luong Duy Nhat 1 Nazhimov, Roman R. 1 Netesov, S. V. 1 Nytrebych, Zinovii Mykolaiovych 1 Okorochkov, Ivan Vladimirovich 1 Petrosova, Magarita Arsenovna 1 Petrosova, Margarita Arsenovna 1 Popov, Anton Yur’evich 1 Pyatkov, Sergeĭ Grigor’evich 1 Rogosin, Sergei V. 1 Sabitov, Kamil’ Basirovich 1 Shaw, Sen-Yen 1 Starovoitov, Victor Nikolayevich 1 Tanabe, Hiroki 1 Telyakovskiĭ, Alekseĭ Sergeevich 1 Thang, Nguyen Van 1 Thành, Nguyen Trung 1 Turov, Mikhail Mikhaĭlovich 1 Urazaeva, A. V. 1 Wang, Jinrong 1 Wei, Wei 1 Xiang, Xiaoling 1 Zainullov, A. R. 1 Zastavnyĭ, Viktor Petrovich all top 5 Cited in 34 Serials 9 Mathematical Notes 9 Differential Equations 8 Journal of Mathematical Sciences (New York) 6 Siberian Mathematical Journal 4 Russian Mathematics 4 Journal of Inverse and Ill-Posed Problems 4 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 3 Abstract and Applied Analysis 3 Lobachevskii Journal of Mathematics 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 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Applicable Analysis 1 Lithuanian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Matematicheskoe Modelirovanie 1 Communications on Pure and Applied Analysis 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet all top 5 Cited in 19 Fields 44 Partial differential equations (35-XX) 25 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 9 Special functions (33-XX) 7 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 6 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year