Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

Mathematical Analysis

Doctoral Degree Program


Mathematical Analysis


full time / external

Usual duration:

full time form 4 years, external form 5 years

Program director:

prof. RNDr. Pavol Quittner, DrSc.

Related study programs: master's degree program Mathematics

Description of the Study Program

In addition to the knowledge immediately connected to the topic of their dissertation, the graduates of the doctoral study program Mathematical analysis gain extensive knowledge of abstract (e.g. in functional analysis and the theory of differential equations) and applied nature (related to the mathematical modeling in natural sciences, for example). They also learn to perform independent research, publish their results in journals, and present them at scientific conferences. They acquire full qualification for teaching and research at mathematical departments of domestic and foreign universities, and also for work at research institutes. They also acquire knowledge useful for other professions which require deep mathematical understanding and logical thinking.

Doctoral Scholarships

Full-time doctoral students who have permanent residency in the European Union are entitled to receive a scholarship for the entire standard duration of their studies. The scholarships are paid starting on the date of enrollment. The scholarship is determined in accordance with the tables included in the Law no. 553/2003 Z.z. as follows: 

  • prior to completion of the qualification exam: 675,00 EUR (6th class, 1st level)
  • after successful completion of the qualification exam: 786,50 EUR (7th class, 1st level)

Scholarships are not subject to taxes or other fees.

Doctoral studies are considered an equivalent to full time employment and in the majority of cases cannot be combined with another employment. Job holding applicants who intend to keep their job are advised to apply for the external (distance) form of doctoral studies. Doctoral students enrolled in the regular form are expected to participate in teaching activities such as conducting recitations or exam grading, in accordance with the needs of their corresponding departments.

Thesis Topics for Academic Year 2019/2020

  • Kvalitatívne vlastnosti riešení nelineárnych parabolických rovníc
    Qualitative properties of solutions of nonlinear parabolic equations 
    (prof. RNDr. Marek Fila, DrSc.) 
  • Nespojité frakcionálne diferenciálne rovnice
    Nonsmooth fractional differential equations 
    (prof. RNDr. Michal Fečkan, DrSc.) 
  • Asymptotika riešení superlineárnych parabolických úloh 
    Asymptotics of solutions of superlinear parabolic problems 
    (prof. RNDr. Pavol Quittner, DrSc.)
  • Sebepodobné riešenie rovnice nestacionárnej filtrácie v dvojkomponentnej oblasti 
    A self-similar solution for the porous medium equation in a two-component domain 
    (prof. RNDr. Ján Filo, CSc.)