info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Tea Shavadze

  • Differential Equations and Optimal Control Department
    Researcher
  • Office: room 256, University str.11, 0186 Tbilisi, Georgia
  • Phone: 557690579
  • E-mail: tea.shavadze@gmail.com
  • Research fields: Ordinary Differential Equations and Optimal Control; Sensitivity analysis; Optimization problems.

Summary

Education:
2016-2020 – Academic Doctor of Mathematics of Ivane Javakhishvili Tbilisi State University
2014-2016 – Master of Mathematics of Ivane Javakhishvili Tbilisi State University

Work Experience:
04.01.2023-present-Ivane Javakhishvili Tbilisi State University (TSU), Member of the Senate
29.12.2020- present- Scientist at TSU, I. Vekua Institute of Applied Mathematics
16.09.2019-present-Invited Lecture at TSU, I. Vekua Institute of Applied Mathematics
16.03.2020-29.12.2020-Senior Laborant (Young Scentist) at TSU, I. Vekua Institute of Applied Mathematics
03.10.2019-16.03.2020-Laborant at TSU, I. Vekua Institute of Applied Mathematics
17.09.2018-28.02.2019-Invited Lecturer at TSU
01.04.2015 - 03.10.2019-Specialist at TSU, I. Vekua Institute of Applied Mathematics

Additional Information

Tea Shavadze's dissertation thesis was defended under the supervisor of Professor T. Tadumadze and Professor A. Nachaoui.
Tea Shavadze has published more than 23 papers in international scientific journals and conference papers, including journals with an impact factor and fixed in Scopus databases. She has presented reports on the results at many international conferences (Tbilisi, Cyprus, Baku, China, Israel, Portugal, Greece, Dubai). In 2019, he was on a business trip to the Jean Lerey Mathematics Laboratory at the University of Nantes (France) for scientific research.
She is the winner of the following competitions:
• Shota Rustaveli National Science Foundation Graduate Program for Doctoral Education Programs;
• Tbilisi International Center Award in Mathematics and Informatics (TSU I. Vekua Institute of Applied Mathematics) in the section of winning masters and doctoral students.
• Winner of the Erasmus-mundus Program Competition, through which the University of G გიttingen (Germany) studied in 2012-2013
She is currently working on the project "Sensitive Analysis of Neutral Differential Equations and Optimal Problems of Some Classes Considering Delay Parameter Perturbations", funded by the Shota Rustaveli Georgian National Science Foundation's "Young Scientists Research Grant".

Projects

Talks

  • On the Representation Formula of Solution for a Class of Perturbed Controlled Neutral Functional Differential equation, by Tea Shavadze (Speaker), Nika Gorgodze, Ia Ramishvili at The International Workshop on the Qualitative Theory of Differential Equations, Tbilisi, Georgia, 09-11 December, 2023.
  • Representation formulas of the First Variation of Solution for One Class of Neutral Functional-Differential Equation with the Continuous and Discontinuous Initial Conditions, by Tea Shavadze (Speaker), Tamaz Tadumadze at Global Conference on Education (GCEDU), Dubai, UAE, 07-08 December, 2023.
  • On the Representation Formula of Solution for a Class of Perturbed Controlled Neutral Functional-Differential Equation, by Tea Shavadze (Speaker), Tamaz Tadumadze at The Fourth International Conference „Modern Problems in Applied Mathematics“ (MPAM2023), Tbilisi, Georgia, 13-15 September, 2023.
  • On the Representation of a Solution for the Perturbed Quasi- Linear Controlled Neutral Functional Differential Equation, by Tea Shavadze (Speaker), Tamaz Tadumadze at 17th Annual International Conference on Mathematics: Teaching, Theory & Applications, Athens, Greece, 26-29 June, 2023.
  • On the well-posedness of the Cauchy problem for one class of controlled neutral functional differential equation considering perturbation of the initial data, by Tea Shavadze (Speaker), Ia Ramishvili at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.
  • Delay Optimization Problem for One Class of Functional Differential Equation, by Tea Shavadze (Speaker) at Festival of Mathematics 2022, Ariel, Israel, 18-24 September, 2022.
  • About Continuity of Solution on the Initial Data for a Neutral Differential Equation, by Tea Shavadze (Speaker) at Georgian Mathematical Union XII Annual International Conference, Batumi, from 29 August to 03 September, 2022.
  • On the well-possedness of the Cauchy problem for the quasi-linear controlled neutral functional differential equation, by Tea Shavadze (Speaker) at International Conferenceon Mathematical Analysis and Applicationsin Science and Engineering ICMA2SC'22, ISEP Porto-Portugal, June 27 - 29,2022, Porto, from 27 June to -2 December, 2022.
  • On the Representation of a Solution for the Perturbed Controlled Differential Equation with the Discontinuous Initial Condition Considering Perturbation of the Initial Moment, by Tea Shavadze (Speaker), Tamaz Tadumadze at International Workshop QUALITDE – 2021, December 18 – 20, 2021, Tbilisi, Georgia , Tbilisi, Georgia, 18-20 December, 2021.
  • The Existence Theorems of the Optimal Element for One Class Quasi Linear Neutral Optimal Control Problem, by Tea Shavadze (Speaker) at Session of the Institute Seminar, Tbilisi, Georgia, 12 October, 2021.
  • An Analytic Representation Formula of Solution of the Perturbed Delay Controlled Differential Equation with discontinuous and Continuous Initial Conditions, by Tea Shavadze (Speaker) at Professor M. Drakhlin’s Seminar - 2020 on the Functional Differential Equations, Ariel, Israel (Online Format), 23 September, 2020.
  • The Equation in Variations for the Controlled Differential Equation with Delay and its Application, by Tamaz Tadumadze (Speaker), Tea Shavadze, Abdeljalil Nachaoui at International Workshop on the Qualitative Theory of Differential Equations, Tbilisi, Georgia, 07-09 December, 2019.
  • Delay Optimization Problem for One Class of Functional Differential Equation, by Tea Shavadze (Speaker), Tamaz Tadumadze, Medea Iordanishvili at Functional Differential Equations and Applications FDEA 2019, Ariel, Israel, 22-28 September, 2019.
  • Necessary Conditions of Optimality for the Nonlinear Optimal Control Problem with Delays and the Discontinuous Initial Condition, by Tea Shavadze (Speaker) at The 12th International Conference on Numerical Optimization and Numerical Linear Algebra, Shangrao, China, 15-18 April, 2019.
  • Variation Formulas of Solutions for Controlled Delay Differential Equation with the Continuous Initial Condition and their Application in the Optimization Problems, by Tea Shavadze (Speaker) at International Conference on Mathematical Optimization, Beijing, China, 08-13 April, 2019. (poster)
  • Optimal control problem with discontinuous initial condition and several constant delays, by Tea Shavadze (Speaker) at The Seventh Annual Conference in Exact and Natural Sciences , Tbilisi, Georgia, 11-15 February, 2019.
  • Necessary Conditions of Optimality for the Optimal Control Problem with Several Delays and the Continuous Initial Condition, by Tea Shavadze (Speaker) at International Workshop QUALITDE – 2018, Tbilisi, Georgia, 01-03 December, 2018.
  • Variation formulas for delay differential equations and necessary optimality conditions, by Tea Shavadze (Speaker) at The 6 International Conference on Control and Optimization with Industrial Applications, Baku, Azerbaijan, from 11 July to 11 December, 2018.
  • Local variation formulas of solutions for the nonlinear controlled functional differential equations with several constant delays and discontinuous initial condition, by Tea Shavadze (Speaker) at The Sixth faculty Conference in Exact and Natural Sciences, Tbilisi, Georgia, 09-13 July, 2018.
  • Variation formulas of solutions for the controlled functional differential equations with continuous and discontinuous initial conditions, by Tea Shavadze (Speaker) at 3rd International Conference on Computational Mathematics and Engineering Sciences, Girne, Cyprus, 04-06 May, 2018.
  • The Necessary Condition of Criticality, by Tea Shavadze (Speaker) at The Fifth Student Conference In Exact and Natural Sciences, Tbilisi, Georgia, 12-15 February, 2018.
  • Variation Formulas of Solutions for Nonlinear Controlled Functional Differential Equations with Constant Delay and the Discontinuous Initial Condition, by Tea Shavadze (Speaker) at International Workshop QUALITDE – 2017, December 24 – 26, Tbilisi, Georgia, 24-26 December, 2017.
  • Estimation of Increment of Solution for the Controlled Functional Differential Equation with the Discontinuous Initial Condition and Several Delays, by Tea Shavadze (Speaker) at Scientific Seminar of VIAM, Tbilisi, Georgia, 05 July, 2017.
  • Variation Formulas of Solution for a controlled Functional Differential Equation Considering Perturbations of Delay Parameters, by Tea Shavadze (Speaker) at The Fifth Student Conference In Exact and Natural Sciences, Tbilisi, Georgia, 07-10 February, 2017.
  • Variation formulas of solution for one class of controlled functional differential equation, by Tea Shavadze (Speaker) at Scientific Seminar of VIAM, Tbilisi, Georgia, 07 July, 2016.
  • Variation formulas of solution for one class of controlled functional differential equation, by Tea Shavadze (Speaker) at The Fourth Annual Conference in Exact and Natural Sciences, Tbilisi, Georgia, 20-28 June, 2016.

Publications

  • Abdeljalil Nachaoui, Tea Shavadze, Tamaz Tadumadze, On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition, Georgian Math. J. 2024, De Gruyter , 2024.
  • Nika Gorgodze, Ia Ramishvili, Tea Shavadze, On the Representation Formula of Solution for a Class of Perturbed Controlled Neutral Functional Differential equation, Reports of Qualitde-2023, Volume 2, 2023, Tbilisi State University Press, 2023.
  • Tea Shavadze, Tamaz Tadumadze, On the Well-Possednis of the Cauchy Problem for a Neutral Controlled Functional Differential Equation, Functional Differential Equations, 29 (3- 4), 2023, Israel, Ariel University Press, 2023.
  • Medea Iordanishvili, Tea Shavadze, Tamaz Tadumadze, Necessary Optimality Conditions of Delay Parameters for the Nonlinear Optimization Problem with the Mixed Initial Condition., Commun. Optim. Theory 2023 (2023) 2, Mathematical Research Press, London, UK, 2023.
  • Ia Ramishvili, Tea Shavadze, Tamaz Tadumadze, A Controlled Integral Equation and Properties of its Kernel, Bulletin of TICMI, 26(2), pp. 81–88, 2022, Tbilisi State University Press, 2022.
  • Tea Shavadze, Ia Ramishvili, On the Functional Integral Equation with the Two Types Controls, Reports of Qualitde-2022, Volume 1, 2022, Tbilisi State University Press, 2022.
  • Tea Shavadze, Tamaz Tadumadze, Abdeljalil Nachaoui, On the Coefficient of Sensitivity of a Controlled Differential Model of the Immune Response, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Tbilisi State University Press, 2022.
  • Tea Shavadze, Tamaz Tadumadze, EXISTENCE OF AN OPTIMAL ELEMENT FOR A CLASS OF NEUTRAL OPTIMAL PROBLEMS, Mem. Differential Equations Math. Phys. 86 (2022), pp. 127-138., Tbilisi University Press , 2022.
  • Tea Shavadze, Tamaz Tadumadze, On the Representation of a Solution for the Perturbed Controlled Differential Equation with the Discontinuous Initial Condition Considering Perturbation of the Initial Moment, Abstracts of the International Workshop on the Qualitative Theory of Differential Equations, December 18-20, Tbilisi , Georgia ,181-184, www. rmi. ge/eng/ QUALITDE-2021/workshop_ 2021. htm, 2021.
  • Abdeljalili Nachaoui, Tea Shavadze, ON THE EXISTENCE OF AN OPTIMAL ELEMENT FOR THE NEUTRAL OPTIMAL PROBLEM WITH DELAY IN CONTROLS, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 47, 2021, I. Vekua Institute of Applied Mathematics, 2021.
  • Tea Shavadze, Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition, Georgian Math. J. pp. 617-628, De Gruyter, 2020.
  • Medea Iordanishvili, Tea Shavadze, Tamaz Tadumadze, Delay optimization problem for one class of controlled functional differential equation, Functional Differential Equations, 26 (3-4), 185-191, Ariel University Center of Samaria, 2020.
  • Abdeljalili Nachaoui, Tea Shavadze, Tamaz Tadumadze, The Local Representation Formula of Solution for the Perturbed Controlled Differential Equation with Delay and Discontinuous Initial Condition, Mathematics. 2020; 8(10):1845. https://doi.org/10.3390/math8101845, MDPI Proceedings Journals, Switzerland, 2020.
  • Tea Shavadze, Nino Burjanadze, ON THE EXISTENCE OF AN OPTIMAL ELEMENT FOR ONE CLASS OF NEUTRAL OPTIMAL PROBLEM WITH THE PHASE RESTRICTIONS, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 46, 2020, I. Vekua Institute of Applied Mathematics, 2020.
  • Medea Iordanishvili, Tea Shavadze, Tamaz Tadumadze, Delay Optimization Problem for One Class of Functional Differential Equation, Springer Proceedings in Mathematics & Statistics. pp. 177-186, Springer, 2019.
  • Tamaz Tadumadze, Tea Shavadze, VARIATION FORMULAS OF SOLUTIONS FOR THE CONTROLLED FUNCTIONAL DIFFERENTIAL EQUATIONS CONSIDERING DELAY PARAMETERS PERTURBATIONS AND OPTIMAL CONTROL PROBLEMS, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 45, 2019, I. Vekua Institute of Applied Mathematics, 2019.
  • Tamaz Tadumadze, Tea Shavadze, Abdeljalili Nachaoui, The Equation in Variations for the Controlled Differential Equation with Delay and its Application, Abstracts of the International Workshop on the Qualitative Theory of Differential Equations, December 07-09, 2019, Tbilisi, Georgia,, http://www.rmi.ge/eng/QUALITDE-2019/workshop_2019.htm, 2019.
  • Tamaz Tadumadze, Phridon Dvalishvili, Tea Shavadze, On the Representation of Solution of the Perturbed Controlled Differential Equation with Delay and Continuous Initial Condition, Appl. Comput. Math. 18 (3), 305-315, Institute of Applied Mathematics of Baku State University, 2019.
  • Tea Shavadze, Necessary Conditions of Optimality for the Optimal Control Problem with Several Delays and the Continuous Initial Condition, International Workshop QUALITDE – 2018, December 1 – 3, 2018, Tbilisi, Georgia, A. RAZMADZE MATHEMATICAL INSTITUTE of I. Javakhishvili Tbilisi State University, 2018.
  • Tea Shavadze, VARIATION FORMULAS FOR DELAY DIFFERENTIAL EQUATIONS AND NECESSARY OPTIMALITY CONDITIONS, PROCEEDINGS of the 6 th International Conference on CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, Volume I, p. 352-354, The Institute of Applied Mathematics of Baku State University, 2018.
  • Tea Shavadze, VARIATION FORMULAS OF SOLUTIONS FOR CONTROLLED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH THE CONTINUOUS INITIAL CONDITION WITH REGARD FOR PERTURBATIONS OF THE INITIAL MOMENT AND SEVERAL DELAYS, Memoirs on Differential Equations and Mathematical Physics Volume 74, 2018, 125–140, Georgian National Academy of Sciences and the A. Razmadze Mathematical Institute, 2018.
  • Tea Shavadze, Necessary Conditions of Optimality for the Optimal Control Problem with Several Delays and the Discontinuous Initial Condition, Bulletin of TICMI Vol. 22, No. 2, 2018, 143–147, I. Vekua Institute of Applied Mathematics, 2018.
  • Tea Shavadze, Variation Formulas of Solutions for Nonlinear Controlled Functional Differential Equations with Constant Delay and the Discontinuous Initial Condition, International Workshop QUALITDE – 2017, December 24 – 26, 2017, Tbilisi, Georgi, A. RAZMADZE MATHEMATICAL INSTITUTE of I. Javakhishvili Tbilisi State University, 2017.
  • Tea Shavadze, Variation Formulas of Solution for One Class of Controlled Functional Differential Equation with Several Delays and the Continuous Initial Condition, International Workshop QUALITDE – 2016, December 24 – 26, 2016, Tbilisi, Georgia, A. RAZMADZE MATHEMATICAL INSTITUTE of I. Javakhishvili Tbilisi State University, 2016.
  • Tea Shavadze, ON ESTIMATION OF THE INCREMENT OF SOLUTION FOR A CONTROLLED FUNCTIONAL DIFFERENTIAL EQUATION CONSIDERING DELAY PARAMETER PERTURBATION, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 41, 2015, I. Vekua Institute of Applied Mathematics, 2015.