SCHOOL OF BUSINESS,
TECNOLOGY AND EDUCATION
ILIA STATE UNIVERSITY

Direction:Mathematics
Position:Position:Assistant Professor





Mariam Manjikashvili graduated from Ilia State University, School of Arts and Sciences (Bachelor’s level) in 2014. In 2016, she was awarded a master’s degree in Mathematics from Ilia State University. In 2014, she obtained a Belgian government scholarship and studied at Ghent University. In 2018 received a scholarship from the the Czech government and continued her studies at Brno University of Technology. In 2021, her project won the grant competition for doctoral educational programs of the Shota Rustaveli National Science Foundation of Georgia and continued her studies at the doctoral level at Ilia State University. In 2023, she was awarded a Ph.D. in Mathematics. In 2019-2023 she was invited lector at the Faculty of Business, Technology and Education of Ilia State University.

Scientific interests / research interests

Ordinary differential and functional-differential equations

Featured publications

  1. Disconjugacy and Green’s functions sign for some two-point boundary value problems for fourth order ordinary differential equations, Georgian Mathematical Journal, vol. 29, no. 4, 2022, pp. 551-559.
  2. Dirichlet BVP for the Second Order Nonlinear Ordinary Differential Equations at Resonance (with S. Mukhigulashvili), Mathematical Modelling and Analysis, 2019, pp. 585-597.

An extensive list of publications

  1. Two-point Boundary Value Problems for 4th Order Ordinary Differential Equations, (with S. Mukhigulashvili), Miskolc Mathematical Notes, 2022.
  2. Necessary And Suffcient Conditions Of Disconjugacy For The Fourth Order Linear Ordinary Differential Equations (with S. Mukhigulashvili) Bull. Math. Soc. Sci. Math. Roumanie Tome 64 (112), No. 4, 2021, 341-353.
  3. The Dirichlet Problem for the Fourth Order Nonlinear Ordinary Differential Equations at Resonance (with S. Mukhigulashvili), J. Contemp. Mathemat. Anal. 55, 291–302 (2020).
  4. On one two-point BVP for the fourth order linear ordinary differential equation (with S. Mukhigulashvili), Georgian Math. J. 24 (2017), No 2, pp. 265-275.

Current Courses

Course Catalog

  • Mathematical Analysis I;
  • Ordinary Differential Equations
  • Calculus III (ENG);
  • Mathematical Analysis II;
  • Linear Ordinary Differential Equations
  1. Calculus I (Eng.) (2022, Bachelor’s level)
  2. Calculus II (Eng.) (2022, Bachelor’s level)
  3. Calculus III (Eng.) (2023, Bachelor’s level)
  4. Mathematical Analysis I (2021, Bachelor’s level)
  5. Mathematical Analysis II (2022-2023, Bachelor’s level)
  6. Mathematical Analysis III (2023, Bachelor’s level)
  7. Ordinary Differential Equations (2021-2023, Bachelor’s level)
  8. Linear Ordinary Differential Equations (2023, Master’s level)
  9. Elements of Practical Mathematics (2019-2022, Bachelor’s level)
  10. Mathematics for Business (2022, Bachelor’s level)