# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 85 Publications since 1973, including 1 Book Reviewing Activity: 191 Reviews
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#### Co-Authors

 21 single-authored 20 Kharatishvili, Guram L. 6 Dvalishvili, Phridon 4 Alkhazishvili, Lela 4 Nachaoui, Abdeljalil 3 Arsenashvili, Akaki 3 Gorgodze, N. Z. 3 Gorgodze, Nika 2 Arsenashvili, A. I. 2 Ramishvili, I. V. 1 Avalishvili, N. M. 1 Haratisvili, G. L. 1 Kharatischvili, G. L. 1 Machaidze, Z. A. 1 Markozashvili, N. I. 1 Nachaoui, Mourad 1 Ramishvili, Ia 1 Savadze, Tea
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#### Serials

 10 Memoirs on Differential Equations and Mathematical Physics 6 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 5 Journal of Mathematical Sciences (New York) 5 Georgian Mathematical Journal 3 Applied and Computational Mathematics 2 Differentsial’nye Uravneniya 2 Differential Equations 2 Doklady 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 Matematicheskiĭ Sbornik. Novaya Seriya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Soviet Mathematics. Doklady 1 Mathematics of the USSR, Sbornik 1 Sbornik: Mathematics 1 Bulletin of the Georgian Academy of Sciences 1 Bulletin of TICMI 1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 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 TWMS Journal of Applied and Engineering Mathematics 1 Transactions of A. Razmadze Mathematical Institute
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#### Fields

 43 Ordinary differential equations (34-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 15 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 90 times in 28 Documents Cited by Year
Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments. Zbl 1110.49023
2007
On some questions of the qualitative theory of optimal control with a retarded argument. Zbl 0579.49003
1983
Variation formulae for the solutions of delay differential equations with discontinuous initial conditions. Zbl 1094.34536
2005
Formulas of variation of solution for nonlinear controlled delay differential equations with discontinuous initial condition. Zbl 1065.49019
2003
Local representations for the variation of solutions of delay differential equations. Zbl 0984.34051
2000
Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument. Zbl 0965.34066
2000
Variation formulas of solution for a controlled functional-differential equation considering delay perturbation. Zbl 1230.34062
2011
Variation formulas for solution of a nonlinear differential equation with time delay and mixed initial condition. Zbl 1180.35539
2008
Regular perturbations in optimal problems with variable structure. Zbl 0591.49019
1985
Variation formulas of solutions for functional differential equations with several constant delays and their applications in optimal control problems. Zbl 1384.34076
2017
Variation formulas of a solution and initial data optimization problems for quasi-linear neutral functional differential equations with discontinuous initial condition. Zbl 1312.34120
2014
Continuous dependence of solutions of delay functional differential equations on the right-hand side and initial data considering delay perturbations. Zbl 1302.34101
2014
Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition. Zbl 1221.34170
2011
On the well-posedness of the Cauchy problem for quasilinear differential equations of neutral type. Zbl 1168.34051
2008
Optimal control of delayed variable structure systems with discontinuous initial condition. Zbl 1209.93028
2005
Formulas of variation of solution for nonlinear controlled delay differential equations with continuous initial conditions. Zbl 1077.34079
2004
Formulas of variation for a solution of neutral differential equations with continuous initial condition. Zbl 1065.34080
2004
Necessary conditions of optimality for optimal problems with delays and with a discontinuous initial condition. Zbl 0984.49014
2001
An existence theorem for a class of optimal problems with delayed argument. Zbl 0974.49004
2000
The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory. Zbl 0906.49014
1997
Nonlinear optimal control systems with variable time lags. Zbl 0443.49010
1979
On the existence of solutions in optimal problems with a deviating argument. Zbl 0405.49024
1978
On the representation of solution of the perturbed controlled differential equation with delay and continuous initial condition. Zbl 1440.34065
2019
Variation formulas of solution for a controlled delay functional-differential equation taking into account delays perturbations and the mixed initial condition. Zbl 1295.34076
2013
Formulas of variation for solutions for some classes of functional differential equations and their applications. Zbl 1238.34126
2009
Optimal control with delays and mixed initial condition. Zbl 1218.49028
2009
An inverse problem for some classes of linear functional differential equations. Zbl 1181.34077
2009
On approximate solution of an inverse problem for linear delay differential equations. Zbl 1284.34115
2008
Necessary optimality conditions for optimal control problems with delays and mixed initial conditions. Zbl 1327.49041
2006
Formulas for the variation of the solution of a differential equation with retarded arguments and with a continuous initial condition. Zbl 1093.34551
2004
Well-posedness of the Cauchy problem for nonlinear differential equations with variable delays. Zbl 1094.34045
2004
Necessary conditions of optimality for an optimal problem with variable delays and with a continuous condition. Zbl 1013.49022
2001
The existence theorem for a class of multidimensional variational problems. Zbl 1229.49003
2000
The existence theorem for one class of optimal problems in Banach space. Zbl 0974.49005
2000
On new necessary condition of optimality of the initial moment in control problems with delay. Zbl 0946.49016
1999
Development of the theory of optimal systems with delayed arguments in Georgia. Zbl 0892.49013
1997
The maximum principle in optimal control problems with concentrated and distributed delays in controls. Zbl 0836.49011
1995
Regular perturbations in optimal control problems with variable delays and a free right end. Zbl 0743.34086
1990
Necessary conditions of optimality for variable structure systems of a neutral type and continuous succession condition. Zbl 0731.93055
1988
On optimality problems with delays and non-fixed initial moment. Zbl 0643.49018
1988
On the continuity of the minimum of an integral functional in a nonlinear optimal control problem. Zbl 0551.49014
1984
On the existence of solution in optimal problems described by nonlinear differential-functional equations. Zbl 0547.49002
1984
A differential game of evasion with delays. Zbl 0534.90109
Ka\skosz, B.; Tadumadze, T.
1984
The maximum principle for some controllable systems of a neutral type. Zbl 0405.49022
1974
On the representation of solution of the perturbed controlled differential equation with delay and continuous initial condition. Zbl 1440.34065
2019
Variation formulas of solutions for functional differential equations with several constant delays and their applications in optimal control problems. Zbl 1384.34076
2017
Variation formulas of a solution and initial data optimization problems for quasi-linear neutral functional differential equations with discontinuous initial condition. Zbl 1312.34120
2014
Continuous dependence of solutions of delay functional differential equations on the right-hand side and initial data considering delay perturbations. Zbl 1302.34101
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
2013
Variation formulas of solution for a controlled functional-differential equation considering delay perturbation. Zbl 1230.34062
2011
Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition. Zbl 1221.34170
2011
Formulas of variation for solutions for some classes of functional differential equations and their applications. Zbl 1238.34126
2009
Optimal control with delays and mixed initial condition. Zbl 1218.49028
2009
An inverse problem for some classes of linear functional differential equations. Zbl 1181.34077
2009
Variation formulas for solution of a nonlinear differential equation with time delay and mixed initial condition. Zbl 1180.35539
2008
On the well-posedness of the Cauchy problem for quasilinear differential equations of neutral type. Zbl 1168.34051
2008
On approximate solution of an inverse problem for linear delay differential equations. Zbl 1284.34115
2008
Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments. Zbl 1110.49023
2007
Necessary optimality conditions for optimal control problems with delays and mixed initial conditions. Zbl 1327.49041
2006
Variation formulae for the solutions of delay differential equations with discontinuous initial conditions. Zbl 1094.34536
2005
Optimal control of delayed variable structure systems with discontinuous initial condition. Zbl 1209.93028
2005
Formulas of variation of solution for nonlinear controlled delay differential equations with continuous initial conditions. Zbl 1077.34079
2004
Formulas of variation for a solution of neutral differential equations with continuous initial condition. Zbl 1065.34080
2004
Formulas for the variation of the solution of a differential equation with retarded arguments and with a continuous initial condition. Zbl 1093.34551
2004
Well-posedness of the Cauchy problem for nonlinear differential equations with variable delays. Zbl 1094.34045
2004
Formulas of variation of solution for nonlinear controlled delay differential equations with discontinuous initial condition. Zbl 1065.49019
2003
Necessary conditions of optimality for optimal problems with delays and with a discontinuous initial condition. Zbl 0984.49014
2001
Necessary conditions of optimality for an optimal problem with variable delays and with a continuous condition. Zbl 1013.49022
2001
Local representations for the variation of solutions of delay differential equations. Zbl 0984.34051
2000
Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument. Zbl 0965.34066
2000
An existence theorem for a class of optimal problems with delayed argument. Zbl 0974.49004
2000
The existence theorem for a class of multidimensional variational problems. Zbl 1229.49003
2000
The existence theorem for one class of optimal problems in Banach space. Zbl 0974.49005
2000
On new necessary condition of optimality of the initial moment in control problems with delay. Zbl 0946.49016
1999
The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory. Zbl 0906.49014
1997
Development of the theory of optimal systems with delayed arguments in Georgia. Zbl 0892.49013
1997
The maximum principle in optimal control problems with concentrated and distributed delays in controls. Zbl 0836.49011
1995
Regular perturbations in optimal control problems with variable delays and a free right end. Zbl 0743.34086
1990
Necessary conditions of optimality for variable structure systems of a neutral type and continuous succession condition. Zbl 0731.93055
1988
On optimality problems with delays and non-fixed initial moment. Zbl 0643.49018
1988
Regular perturbations in optimal problems with variable structure. Zbl 0591.49019
1985
On the continuity of the minimum of an integral functional in a nonlinear optimal control problem. Zbl 0551.49014
1984
On the existence of solution in optimal problems described by nonlinear differential-functional equations. Zbl 0547.49002
1984
A differential game of evasion with delays. Zbl 0534.90109
1984
On some questions of the qualitative theory of optimal control with a retarded argument. Zbl 0579.49003
1983
Nonlinear optimal control systems with variable time lags. Zbl 0443.49010
1979
On the existence of solutions in optimal problems with a deviating argument. Zbl 0405.49024
1978
The maximum principle for some controllable systems of a neutral type. Zbl 0405.49022
1974
all top 5