Edit Profile (opens in new tab) Tadumadze, Tamaz A. Co-Author Distance Author ID: tadumadze.tamaz-a Published as: Tadumadze, T. A.; Tadumadze, Tamaz; Tadumadze, T.; Tadumadze, Tamaz A. more...less Documents Indexed: 96 Publications since 1973, including 1 Book Reviewing Activity: 191 Reviews Co-Authors: 18 Co-Authors with 51 Joint Publications 61 Co-Co-Authors all top 5 Co-Authors 31 single-authored 21 Kharatishvili, Guram L. 7 Nachaoui, Abdeljalil 6 Dvalishvili, Phridon 6 Shavadze, Tea 5 Alkhazishvili, Lela 3 Arsenashvili, Akaki 3 Gelashvili, Koba N. 3 Iordanishvili, Medea 2 Arsenashvili, A. I. 2 Gorgodze, Nika 2 Nachaoui, Mourad 2 Ramishvili, I. V. 2 Ramishvili, Ia 1 Avalishvili, N. M. 1 Chachanidze, S. 1 Gorgodze, N. Z. 1 Kaśkosz, Barbara 1 Kharatischvili, G. L. 1 Machaidze, Z. A. 1 Mansimov, Kamil Baĭramali oglu 1 Markozashvili, N. I. 1 Melikov, Telman Kuli 1 Savadze, Tea all top 5 Serials 18 Memoirs on Differential Equations and Mathematical Physics 8 Seminar of I. Vekua Institute of Applied Mathematics. Reports 7 Journal of Mathematical Sciences (New York) 6 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 6 Georgian Mathematical Journal 3 Functional Differential Equations 3 Proceedings of I. Vekua Institute of Applied Mathematics 3 Applied and Computational Mathematics 2 Differentsial’nye Uravneniya 2 Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Doklady Mathematics 2 Bulletin of TICMI 2 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 2 Differential Equations 2 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 2 Bulletin of the Georgian National Academy of Sciences. New Series 2 Georgian International Journal of Science and Technology 1 Journal of Optimization Theory and Applications 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Soviet Mathematics. Doklady 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Mathematics of the USSR, Sbornik 1 Sbornik: Mathematics 1 Bulletin of the Georgian Academy of Sciences 1 RAIRO. Operations Research 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Proceedings of Javakhishvili Tbilisi State University. Applied Mathematics, Computer Sciences 1 Azerbaijan Journal of Mathematics 1 TWMS Journal of Applied and Engineering Mathematics 1 Transactions of A. Razmadze Mathematical Institute all top 5 Fields 63 Ordinary differential equations (34-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 18 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 49 Publications have been cited 93 times in 36 Documents Cited by ▼ Year ▼ Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments. Zbl 1110.49023 Kharatishvili, G. L.; Tadumadze, T. A. 13 2007 On some questions of the qualitative theory of optimal control with a retarded argument. Zbl 0579.49003 Tadumadze, T. A. 7 1983 Variation formulae for the solutions of delay differential equations with discontinuous initial conditions. Zbl 1094.34536 Kharatishvili, G. L.; Tadumadze, T. A. 6 2005 Variation formulas of solutions for functional differential equations with several constant delays and their applications in optimal control problems. Zbl 1384.34076 Tadumadze, Tamaz 5 2017 Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument. Zbl 0965.34066 Kharatishvili, G.; Tadumadze, T.; Gorgodze, N. 4 2000 Variation formulas for solution of a nonlinear differential equation with time delay and mixed initial condition. Zbl 1180.35539 Kharatishvili, G. L.; Tadumadze, T. A. 4 2008 Local representations for the variation of solutions of delay differential equations. Zbl 0984.34051 Tadumadze, T. 4 2000 Formulas of variation of solution for nonlinear controlled delay differential equations with discontinuous initial condition. Zbl 1065.49019 Tadumadze, T.; Alkhazishvili, L. 4 2003 Variation formulas of solution for a controlled functional-differential equation considering delay perturbation. Zbl 1230.34062 Tadumadze, T.; Nachaoui, A. 3 2011 Regular perturbations in optimal problems with variable structure. Zbl 0591.49019 Tadumadze, T. A.; Avalishvili, N. M. 3 1985 Nonlinear optimal control systems with variable time lags. Zbl 0443.49010 Kharatishvili, G. L.; Tadumadze, T. A. 3 1979 On the representation of solution of the perturbed controlled differential equation with delay and continuous initial condition. Zbl 1440.34065 Tadumadze, Tamaz; Dvalishvili, Phridon; Savadze, Tea 3 2019 A differential game of evasion with delays. Zbl 0534.90109 Kaśkosz, B.; Tadumadze, T. 2 1984 Optimal control of delayed variable structure systems with discontinuous initial condition. Zbl 1209.93028 Tadumadze, Tamaz; Arsenashvili, Akaki 2 2005 The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory. Zbl 0906.49014 Kharatishvili, Guram L.; Tadumadze, Tamaz A. 2 1997 The maximum principle in optimal control problems with concentrated and distributed delays in controls. Zbl 0836.49011 Kharatishvili, G.; Tadumadze, T. 2 1995 Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition. Zbl 1221.34170 Tadumadze, Tamaz 2 2011 An existence theorem for a class of optimal problems with delayed argument. Zbl 0974.49004 Tadumadze, T.; Gelashvili, K. 2 2000 Necessary conditions of optimality for optimal problems with delays and with a discontinuous initial condition. Zbl 0984.49014 Tadumadze, T.; Alkhazishvili, L. 2 2001 Formulas of variation for a solution of neutral differential equations with continuous initial condition. Zbl 1065.34080 Ramishvili, I.; Tadumadze, T. 2 2004 On the well-posedness of the Cauchy problem for quasilinear differential equations of neutral type. Zbl 1168.34051 Tadumadze, T. A.; Gorgodze, N. Z.; Ramishvili, I. V. 2 2008 Formulas of variation of solution for nonlinear controlled delay differential equations with continuous initial conditions. Zbl 1077.34079 Tadumadze, T.; Alkhazishvili, L. 2 2004 On the existence of solutions in optimal problems with a deviating argument. Zbl 0405.49024 Tadumadze, T. A. 2 1978 Variation formulas of solution for a controlled delay functional-differential equation taking into account delays perturbations and the mixed initial condition. Zbl 1295.34076 Mansimov, K.; Melikov, T.; Tadumadze, T. 2 2013 Variation formulas of a solution and initial data optimization problems for quasi-linear neutral functional differential equations with discontinuous initial condition. Zbl 1312.34120 Tadumadze, Tamaz; Gorgodze, Nika 2 2014 Continuous dependence of solutions of delay functional differential equations on the right-hand side and initial data considering delay perturbations. Zbl 1302.34101 Tadumadze, Tamaz 2 2014 On the numerical approximation of some inverse problems governed by nonlinear delay differential equation. Zbl 1495.49022 Nachaoui, Mourad; Nachaoui, Abdeljalil; Tadumadze, Tamaz 2 2022 On optimality problems with delays and non-fixed initial moment. Zbl 0643.49018 Kharatishvili, G. L.; Tadumadze, T. A. 1 1988 On the existence of solution in optimal problems described by nonlinear differential-functional equations. Zbl 0547.49002 Tadumadze, T. A. 1 1984 On the continuity of the minimum of an integral functional in a nonlinear optimal control problem. Zbl 0551.49014 Tadumadze, T. A. 1 1984 On the existence of an optimal element for a delay control problem. Zbl 1194.49005 Tadumadze, T. 1 2010 On new necessary condition of optimality of the initial moment in control problems with delay. Zbl 0946.49016 Tadumadze, T. 1 1999 Development of the theory of optimal systems with delayed arguments in Georgia. Zbl 0892.49013 Kharatishvili, G.; Tadumadze, T. 1 1997 The existence theorem for a class of multidimensional variational problems. (The existence theorem for one class of multidimensional variational problem.) Zbl 1229.49003 Gelashvili, K.; Tadumadze, T. 1 2000 An inverse problem for some classes of linear functional differential equations. Zbl 1181.34077 Tadumadze, Tamaz 1 2009 Optimal control with delays and mixed initial condition. Zbl 1218.49028 Kharatishvili, G. L.; Tadumadze, T. A. 1 2009 Formulas for the variation of the solution of a differential equation with retarded arguments and with a continuous initial condition. Zbl 1093.34551 Kharatishvili, G. L.; Tadumadze, T. A. 1 2004 The existence theorem for one class of optimal problems in Banach space. Zbl 0974.49005 Tadumadze, T.; Gelashvili, K. 1 2000 Formulas of variation for solutions for some classes of functional differential equations and their applications. Zbl 1238.34126 Tadumadze, Tamaz 1 2009 Necessary conditions of optimality for an optimal problem with variable delays and with a continuous condition. Zbl 1013.49022 Tadumadze, T. 1 2001 Well-posedness of the Cauchy problem for nonlinear differential equations with variable delays. Zbl 1094.34045 Kharatishvili, G. L.; Tadumadze, T. A. 1 2004 Necessary conditions of optimality for variable structure systems of a neutral type and continuous succession condition. Zbl 0731.93055 Arsenashvili, A. I.; Tadumadze, T. A. 1 1988 Regular perturbations in optimal control problems with variable delays and a free right end. Zbl 0743.34086 Kharatishvili, G. L.; Tadumadze, T. A. 1 1990 The maximum principle for some controllable systems of a neutral type. Zbl 0405.49022 Tadumadze, T. 1 1974 Variation formulas for the solution of delay differential equations with mixed initial conditions and delay perturbations. Zbl 1336.34086 Tadumadze, T. 1 2016 Necessary optimality conditions for optimal control problems with delays and mixed initial conditions. Zbl 1327.49041 Kharatishvili, G. L.; Tadumadze, T. A. 1 2006 On the existence of an optimal element in two-stage optimal problems with delays. Zbl 1278.49007 Tadumadze, Tamaz 1 2013 Delay optimization problem for one class of controlled functional differential equation. Zbl 1516.49023 Iordanishvili, M.; Shavadze, T.; Tadumadze, Tamaz A. 1 2019 On approximate solution of an inverse problem for linear delay differential equations. Zbl 1284.34115 Arsenashvili, Akaki; Nachaoui, Abdeljalil; Tadumadze, Tamaz 1 2008 On the numerical approximation of some inverse problems governed by nonlinear delay differential equation. Zbl 1495.49022 Nachaoui, Mourad; Nachaoui, Abdeljalil; Tadumadze, Tamaz 2 2022 On the representation of solution of the perturbed controlled differential equation with delay and continuous initial condition. Zbl 1440.34065 Tadumadze, Tamaz; Dvalishvili, Phridon; Savadze, Tea 3 2019 Delay optimization problem for one class of controlled functional differential equation. Zbl 1516.49023 Iordanishvili, M.; Shavadze, T.; Tadumadze, Tamaz A. 1 2019 Variation formulas of solutions for functional differential equations with several constant delays and their applications in optimal control problems. Zbl 1384.34076 Tadumadze, Tamaz 5 2017 Variation formulas for the solution of delay differential equations with mixed initial conditions and delay perturbations. Zbl 1336.34086 Tadumadze, T. 1 2016 Variation formulas of a solution and initial data optimization problems for quasi-linear neutral functional differential equations with discontinuous initial condition. Zbl 1312.34120 Tadumadze, Tamaz; Gorgodze, Nika 2 2014 Continuous dependence of solutions of delay functional differential equations on the right-hand side and initial data considering delay perturbations. Zbl 1302.34101 Tadumadze, Tamaz 2 2014 Variation formulas of solution for a controlled delay functional-differential equation taking into account delays perturbations and the mixed initial condition. Zbl 1295.34076 Mansimov, K.; Melikov, T.; Tadumadze, T. 2 2013 On the existence of an optimal element in two-stage optimal problems with delays. Zbl 1278.49007 Tadumadze, Tamaz 1 2013 Variation formulas of solution for a controlled functional-differential equation considering delay perturbation. Zbl 1230.34062 Tadumadze, T.; Nachaoui, A. 3 2011 Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition. Zbl 1221.34170 Tadumadze, Tamaz 2 2011 On the existence of an optimal element for a delay control problem. Zbl 1194.49005 Tadumadze, T. 1 2010 An inverse problem for some classes of linear functional differential equations. Zbl 1181.34077 Tadumadze, Tamaz 1 2009 Optimal control with delays and mixed initial condition. Zbl 1218.49028 Kharatishvili, G. L.; Tadumadze, T. A. 1 2009 Formulas of variation for solutions for some classes of functional differential equations and their applications. Zbl 1238.34126 Tadumadze, Tamaz 1 2009 Variation formulas for solution of a nonlinear differential equation with time delay and mixed initial condition. Zbl 1180.35539 Kharatishvili, G. L.; Tadumadze, T. A. 4 2008 On the well-posedness of the Cauchy problem for quasilinear differential equations of neutral type. Zbl 1168.34051 Tadumadze, T. A.; Gorgodze, N. Z.; Ramishvili, I. V. 2 2008 On approximate solution of an inverse problem for linear delay differential equations. Zbl 1284.34115 Arsenashvili, Akaki; Nachaoui, Abdeljalil; Tadumadze, Tamaz 1 2008 Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments. Zbl 1110.49023 Kharatishvili, G. L.; Tadumadze, T. A. 13 2007 Necessary optimality conditions for optimal control problems with delays and mixed initial conditions. Zbl 1327.49041 Kharatishvili, G. L.; Tadumadze, T. A. 1 2006 Variation formulae for the solutions of delay differential equations with discontinuous initial conditions. Zbl 1094.34536 Kharatishvili, G. L.; Tadumadze, T. A. 6 2005 Optimal control of delayed variable structure systems with discontinuous initial condition. Zbl 1209.93028 Tadumadze, Tamaz; Arsenashvili, Akaki 2 2005 Formulas of variation for a solution of neutral differential equations with continuous initial condition. Zbl 1065.34080 Ramishvili, I.; Tadumadze, T. 2 2004 Formulas of variation of solution for nonlinear controlled delay differential equations with continuous initial conditions. Zbl 1077.34079 Tadumadze, T.; Alkhazishvili, L. 2 2004 Formulas for the variation of the solution of a differential equation with retarded arguments and with a continuous initial condition. Zbl 1093.34551 Kharatishvili, G. L.; Tadumadze, T. A. 1 2004 Well-posedness of the Cauchy problem for nonlinear differential equations with variable delays. Zbl 1094.34045 Kharatishvili, G. L.; Tadumadze, T. A. 1 2004 Formulas of variation of solution for nonlinear controlled delay differential equations with discontinuous initial condition. Zbl 1065.49019 Tadumadze, T.; Alkhazishvili, L. 4 2003 Necessary conditions of optimality for optimal problems with delays and with a discontinuous initial condition. Zbl 0984.49014 Tadumadze, T.; Alkhazishvili, L. 2 2001 Necessary conditions of optimality for an optimal problem with variable delays and with a continuous condition. Zbl 1013.49022 Tadumadze, T. 1 2001 Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument. Zbl 0965.34066 Kharatishvili, G.; Tadumadze, T.; Gorgodze, N. 4 2000 Local representations for the variation of solutions of delay differential equations. Zbl 0984.34051 Tadumadze, T. 4 2000 An existence theorem for a class of optimal problems with delayed argument. Zbl 0974.49004 Tadumadze, T.; Gelashvili, K. 2 2000 The existence theorem for a class of multidimensional variational problems. (The existence theorem for one class of multidimensional variational problem.) Zbl 1229.49003 Gelashvili, K.; Tadumadze, T. 1 2000 The existence theorem for one class of optimal problems in Banach space. Zbl 0974.49005 Tadumadze, T.; Gelashvili, K. 1 2000 On new necessary condition of optimality of the initial moment in control problems with delay. Zbl 0946.49016 Tadumadze, T. 1 1999 The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory. Zbl 0906.49014 Kharatishvili, Guram L.; Tadumadze, Tamaz A. 2 1997 Development of the theory of optimal systems with delayed arguments in Georgia. Zbl 0892.49013 Kharatishvili, G.; Tadumadze, T. 1 1997 The maximum principle in optimal control problems with concentrated and distributed delays in controls. Zbl 0836.49011 Kharatishvili, G.; Tadumadze, T. 2 1995 Regular perturbations in optimal control problems with variable delays and a free right end. Zbl 0743.34086 Kharatishvili, G. L.; Tadumadze, T. A. 1 1990 On optimality problems with delays and non-fixed initial moment. Zbl 0643.49018 Kharatishvili, G. L.; Tadumadze, T. A. 1 1988 Necessary conditions of optimality for variable structure systems of a neutral type and continuous succession condition. Zbl 0731.93055 Arsenashvili, A. I.; Tadumadze, T. A. 1 1988 Regular perturbations in optimal problems with variable structure. Zbl 0591.49019 Tadumadze, T. A.; Avalishvili, N. M. 3 1985 A differential game of evasion with delays. Zbl 0534.90109 Kaśkosz, B.; Tadumadze, T. 2 1984 On the existence of solution in optimal problems described by nonlinear differential-functional equations. Zbl 0547.49002 Tadumadze, T. A. 1 1984 On the continuity of the minimum of an integral functional in a nonlinear optimal control problem. Zbl 0551.49014 Tadumadze, T. A. 1 1984 On some questions of the qualitative theory of optimal control with a retarded argument. Zbl 0579.49003 Tadumadze, T. A. 7 1983 Nonlinear optimal control systems with variable time lags. Zbl 0443.49010 Kharatishvili, G. L.; Tadumadze, T. A. 3 1979 On the existence of solutions in optimal problems with a deviating argument. Zbl 0405.49024 Tadumadze, T. A. 2 1978 The maximum principle for some controllable systems of a neutral type. Zbl 0405.49022 Tadumadze, T. 1 1974 all cited Publications top 5 cited Publications all top 5 Cited by 39 Authors 12 Tadumadze, Tamaz A. 4 Iordanishvili, Medea 3 Dvalishvili, Phridon 3 Kharatishvili, Guram L. 3 Mardanov, Misir Dzhumail ogly 3 Shavadze, Tea 2 Frederico, Gastão S. F. 2 Khalsaraei, Mohammad Mehdizadeh 2 Lazo, Matheus Jatkoske 2 Melikov, Telman Kuli 2 Ramishvili, I. V. 1 Aida-Zade, Kamil Rajab 1 Alkhazishvili, Lela 1 Arsenashvili, A. I. 1 Arutyunov, Aram Vladimirovic 1 Barreto, Maria N. F. 1 Barreto, Maria Nilde 1 Deresse, Alemayehu Tamirie 1 Gorgodze, N. Z. 1 Gorgodze, Nika 1 Kuliev, Samir Zakir 1 Mahmudov, Elimhan Nadir 1 Malik, Samin T. 1 Mansimov, Kamil Baĭramali oglu 1 Mastaliev, Rashad Ogtaĭ ogly 1 Molayi, Maryam 1 Moltot, Asfaw Tsegaye 1 Nachaoui, Abdeljalil 1 Odzijewicz, Tatiana 1 Paiva, Juilson 1 Ramishvili, Ia 1 Sağlam, Sevilay Demir 1 Si, Qingyang 1 Torres, Delfim Fernando Marado 1 Tsintsadze, Zurab A. 1 Vanterler da Costa Sousa, José 1 Vinter, Richard B. 1 Wang, Jungang 1 Zhang, You all top 5 Cited in 18 Serials 9 Journal of Mathematical Sciences (New York) 5 Georgian Mathematical Journal 2 Applicable Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Mathematical Chemistry 2 Transactions of A. Razmadze Mathematical Institute 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Cybernetics and Systems Analysis 1 Functional Differential Equations 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Advances in Mathematical Physics all top 5 Cited in 11 Fields 21 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 5 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year