მოკლე ინფორმაცია

განათლება:
2016-2020 - მათემატიკის მეცნიერებათა აკადემიური დოქტორი, ივანე ჯავახიშვილის თბილისის სახელმწიფო უნივერსიტეტი
2014-2016 - მეცნიერებათა მაგისტრი , ივ. ჯავახიშვილის თბილისის სახელმწიფო უნივერსიტეტი
სამუშაო გამოცდილება:
04.01.2023-დღემდე- ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი (თსუ), სენატის წევრი
29.12.2020- დღემდე-თსუ, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტის მეცნიერი თანამშრომელი
16.09.2019-დღემდე-თსუ, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტის მოწვეული ლექტორი
16.03.2020-29.12.2020-თსუ, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტის უფროსი უფროსი ლაბორანტი (ახალგაზრდა მეცნიერი)
03.10.2019-16.03.2020-თსუ, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტის ლაბორანტი
17.09.2018-28.02.2019-თსუ, მოწვეული ლექტორი
01.04.2015 - 03.10.2019-თსუ, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტის სპეციალისტი

დამატებითი ინფორმაცია
თეა შავაძემ დისერტაცია დაიცვა პროფესორ თ. თადუმაძის და პროფესორ ა. ნაშავის ხელმძღვანელობით.
თეა შავაძეს გამოქვეყნებული აქვს 23 -ზე მეტი ნაშრომი საერთაშორისო დონის სამეცნიერო ჟურნალებსა და კონფერენციის მასალებში, მათ შორის, იმპაქტ–ფაქტორის მქონე და სკოპუსის ბაზებში ფიქსირებულ ჟურნალებში. მას მიღებული შედეგების გარშემო მოხსენებები აქვს გაკეთებული მრავალ საერთაშორისო დონის კონფერენციაზე (თბილისი, კვიპროსი, ბაქო, ჩინეთი, ისრაელი, პორტუგალია, საბერძნეთი, დუბაი). 2019 წელს სამეცნიერო–კვლევითი სამუშაოების ჩასატარებლად მივლინებით იმყოფებოდა ნანტის უნივერსიტეტის ჟან ლერეს სახელობის მათემატიკის ლაბორატორიაში (საფრანგეთი).
არის შემდეგ კონკურსების გამარჯვებული:
• შოთა რუსთაველის ეროვნული სამეცნიერო ფონდის დოქტორანტურის საგანმანათლებლო პროგრამების გრანტით დაფინანსების კონკურსი;
• თბილისის საერთაშორისო ცენტრის პრემია მათემატიკასა და ინფორმატიკაში (თსუ ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ისტიტუტი) გამარჯვებული მაგისტრანტებისა და დოქტორანტების სექციაში.
• პროგრამა Erasmus-mundus - ის კონკურსის გამარჯვებული, რომლის საშუალე-ბითაც 2012-2013 წლებში სასწავლებლად იმყოფებოდა გიოტინგენის უნივერსიტეტი (გერმანია)
ამჟამად, მუშაობს პროექტზე „ზოგიერთი კლასის ნეიტრალური დიფერენციალური განტოლებებისა და ოპტიმალური ამოცანების სენსიტიური ანალიზი დაგვიანების პარამეტრების შეშფოთებების გათვალისწინებით“ , რომელიც დაფინანსებულია შოთა რუსთაველის საქართველოს ეროვნული სამეცნიერო ფონდის „ახალგაზრდა მეცნიერთა კვლევების გრანტი“.

პროექტები

• ზოგიერთი კლასის ნეიტრალური დიფერენციალური განტოლებებისა და ოპტიმალური ამოცანების სენსიტიური ანალიზი დაგვიანების პარამეტრების შეშფოთებების გათვალისწინებით (YS-21-554), 2021-2023.
• ამონახსნების ვარიაციის ფორმულები სამართი ფუნქციონალურ-დიფერენციალური განტოლებებისთვის წყვეტილი საწყისი პირობით და დაგვიანებების შეშფოთების გათვალისწინებით და მათი გამოყენება ოპტიმიზაციის ამოცანებ (PhD_F_ 17_89), 2017-2019.

მოხსენებები

• 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. (სტენდური)
• 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.

პუბლიკაციები

• 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.