Tomas Bata University in Zlín

She completed her Master’s degree in Mathematics and its Applications with a specialization in Applications of Mathematics in Economics at the Faculty of Science, Palacký University Olomouc, in 2005. Three years later, she successfully completed her doctoral studies in Mathematical Analysis and passed the rigorous examination in Mathematics and its Applications at the same faculty.

She began her academic career in 2008 as an Assistant Professor at the Department of Mathematical Analysis and Applications of Mathematics at the Faculty of Science, Palacký University Olomouc, where she worked until 2019. Subsequently, from 2019 to 2021, she worked as an Assistant Professor at the Institute of Computer Science and Applied Mathematics at Moravian Business College Olomouc. In 2021, she successfully habilitated in Mathematics – Mathematical Analysis at the Faculty of Science, Masaryk University in Brno. Since then, she has been working as an Associate Professor and Manager of the Institute of Applied Mathematics at Moravian Business College Olomouc. Since 2026, she has also been an Associate Professor at the Institute of School Pedagogy at the Faculty of Humanities, Tomas Bata University in Zlín. Her professional focus is on mathematical analysis and the theory of differential equations. She investigates initial and boundary value problems in a wide range of mathematical structures – from standard models to abstract infinite-dimensional spaces. She also focuses on the use of mathematics in pedagogical research and economic applications.

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Teaching

Consulting hours

Monday 8.30am-9am, 12.30pm-13pm

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Curriculum vitae

Education

• 2021: Masaryk University, Brno, Faculty of Science, habilitation, field of study: Mathematics – Mathematical Analysis (Associate Professor)
• 2008: Palacký University Olomouc, Faculty of Science, field of study: Mathematics and its Applications (RNDr. degree)
• 2005 – 2008: Palacký University Olomouc, Faculty of Science, doctoral study programme, field of study: Mathematical Analysis (Ph.D. degree)
• 2000 – 2005: Palacký University Olomouc, Faculty of Science, field of study: Mathematics and its Applications, specialization: Applications of Mathematics in Economics (Mgr. degree)

Internships and study stays

• 2024 – 2026: Short-term internships at the University of Economics in Bratislava (Department of Mathematics and Actuarial Science) within the Erasmus+ programme
• 2013: International mobility at the University of Modena and Reggio Emilia in Italy within the OP EC project "Modernization of the Mathematics Study Programme at the Faculty of Science, Palacký University Olomouc" (3 weeks)
• 2007: International internship at the University of Modena and Reggio Emilia in Italy within the programme "Researchers Mobility in the Field of Scientific and Cultural Cooperation Programmes of the University of Modena and Reggio Emilia" (3 months)

Process of employment

• 2026 – present: Tomas Bata University in Zlín, Faculty of Humanities, Institute of School Pedagogy, Associate Professor
• 2021 – present: Moravian Business College Olomouc, Institute of Applied Mathematics, Associate Professor, Institute Manager
• 2019 – 2021: Moravian Business College Olomouc, Institute of Computer Science and Applied Mathematics, Assistant Professor
• 2008 – 2019: Palacký University Olomouc, Faculty of Science, Department of Mathematical Analysis and Applications of Mathematics, Assistant Professor

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Creative activities

Publications

Project outputs

Other publications

• Škrabal, M. Tvrdoň, M. Krajňák, M. Pavlačková, Economic and fiscal aspects of brownfield regeneration in Czechia: Cost structures and policy implications. Local Economy: The Journal of the Local Economy Policy Unit, 40, 3 (2026), 213-237.
• Pavlačková, V. Taddei, Controllability of second-order evolution systems in Banach spaces. Electronic Research Archive 33, 10 (2025), 5937-5964.
• Škrabal, M. Pavlačková, J. Fišer, Typological Classification and Spatial Analysis of Brownfields. A Case Study from Czechia. Journal of Settlements and Spatial Planning 16, 2 (2025), 162-172.
• Pavlačková, V. Taddei, On a new concept of controllability of second-order semilinear differential equations in Banach spaces. Mathematical Control and Related Fields 15, 3 (2025), 1150-1173.
• Pavlačková, V. Taddei, Bound Sets Approach to Impulsive Floquet Problems for Vector Second-Order Differential Inclusions. Differ Equ Dyn Syst 32 (2024), 565–585.
• Pavlačková, V. Taddei, The damped vibrating string equation on the positive half-line. Communications in Nonlinear Science and Numerical Simulation 126 (2023): 107497.
• Pavlačková, O. Pavlačka, T. Horčičková, A fuzzy group decision-making model for measurement of companies´ performance. Economic Computation and Economic Cybernetics Studies and Research 57, 2 (2023), 119-134.
• Pavlačková, V. Taddei, Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness, Archivum Mathematicum 59, 1 (2023), 99-107.
• Pavlačková, O. Pavlačka, A fuzzy multi-criteria student-based model for evaluation of university lecturers´ performance, Proceedings of EDULEARN22 Conference, Palma, Mallorca, Spain, 2022, ISBN: 978-84-09-42484-9, pp. 1537–1544
• Pavlačková, V. Taddei, Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces. Mathematics 2022, 10, 672.
• Pavlačka, M. Pavlačková, On the properties of the fuzzy weighted average of fuzzy numbers with normalized fuzzy weights. Iranian Journal of Fuzzy Systems 18, 4 (2021), 1-17.
• Pavlačková, P. Ženčák, Dirichlet Boundary Value Problem for an Impulsive Forced Pendulum Equation with Viscous and Dry Frictions. Applications of Mathematics, 66, 1 (2021), 57-68.
• Pavlačková, V. Taddei, On the impulsive Dirichlet problem for second-order differential inclusions, El. J. Qual. Th. Diff. Eqns 13 (2020), 1-22.
• Pavlačková, V. Taddei, Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side, Electron. J. Differential Equations, Vol. 2019 (2019), No. 12, pp. 1-18.
• Pavlačková, On Kneser solutions of the n-th order nonlinear differential inclusions, Czechoslovak Mathematical Journal 69, 1 (2019), 99-116.
• Andres, M. Pavlačková, Topological structure of solution sets to asymptotic n-th order vector boundary value problems, Electronic Journal of Qualitative Theory of Differential Equations 70 (2018), 1–29.
• Pavlačka, M. Pavlačková, V. Hetfleiš, Fuzzy weighted average as a fuzzified aggregation operator and its properties, Kybernetika, 53, 1 (2017), 137–160.
• Andres, M. Pavlačková, Boundary value problems on noncompact intervals for the n-th order vector differential inclusions, Electronic Journal of Qualitative Theory of Differential Equations 60 (2016), 1–19.
• Pavlačková, A Scorza-Dragoni approach to Dirichlet problem with an upper-Carathéodory right-hand side, TMNA 44, 1 (2014), 239-247.
• Andres, L. Malaguti, M. Pavlačková, Scorza-Dragoni approach to Dirichlet problem in Banach spaces, Boundary Value Problems 2014, 2014:23.
• Andres, L. Malaguti, M. Pavlačková, Dirichlet problem in Banach spaces: the bound sets approach, Boundary Value Problems 25 (2013), 1-21.
• Andres, L. Malaguti, M. Pavlačková, A Scorza-Dragoni approach to second-order boundary value problems in abstract spaces, Appl. Math. Inf. Sci. 6, 2 (2012), 29-44.
• Andres, L. Malaguti, M. Pavlačková, On second-order boundary value problems in Banach spaces: a bound sets approach, TMNA 37, 2 (2011), 303-341.
• Andres, M. Pavlačková: Topological structure of solution sets to asymptotic boundary value problems. J. Diff. Eq. 248, 1 (2010), 127-150.
• Andres, L. Malaguti, M. Pavlačková: Strictly localized bounding functions for vector second-order boundary value problems. Nonlin. Anal. 71, 12 (2009), 6019-6028.
• Andres, M. Pavlačková: Asymptotic boundary value problems for second-order differential systems. Nonlin. Anal. 71, 5-6 (2009), 1462-1473.
• Andres, M. Kožušníková, L. Malaguti: Bound sets approach to boundary value problems for vector second-order differential inclusions. Nonlin. Anal. 71, 1-2 (2009), 28-44.
• Andres, M. Kožušníková, L. Malaguti: On the Floquet problem for second-order Marchaud differential systems. J. Math. Anal. Appl. 351 (2009), 360–372.