Faculty of Exact and Natural Sciences

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Research group

Spanish

Modeling with differential equations

Academic Unit: Faculty of Exact and Natural Sciences

Colombian Ministry of Science

Reconocido

Call

894 GrupLAC

OECD

Area

Natural sciences

Subarea

Mathematics

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Strategic Focus

The group´s mission is to advance in the understanding and application of modeling with differential equations, therefore, we can address a wide variety of complex problems in various fields such as: exact sciences, natural, social and applied sciences; due to the versatility of these equations as a mathematical tool. Working interdisciplinarily and thus developing practical and analytical solutions that contribute to sustainable development, innovation and informed decision-making.

Some of the issues we face are climate change and environmental sustainability, epidemiology and public health, population and economic dynamics, energy and environment, atmospheric sciences and oceanography, transport and urban mobility, market dynamics and consumer behavior and, finally, complex system dynamics.

Research Lines and/or Areas

Complex Analysis.
Differential Equations.
Differential Geometry and Algebraic Topology.
Applied Mathematics and Inverse Problems.
Stochastic models.
Dynamic Systems and Cybernetics.
Integrable Systems and Mathematical Physics.

Sustainable Development Goals (SDGs)

Group Coordinator

Jairo Eloy Castellanos Ramos

PhD in Mathematics: University of São Paulo – Brazil.
Master’s degree in Mathematics: Universidad Nacional de Colombia.

Coordinator's Email

Jairo.castellanos@udea.edu.co

Scientific Cooperation

Collaborative Relationships

Research group: Geometric theory of PDE and several complex variables. Paulo D. Cordaro. Professor of Mathematics, University of S. Paulo.
Algebra research group. Algebra, Number Theory and Applications: ERM research Group.
Numerical and Financial Analysis: Applied Mathematics for Industry research group.
Multivariate Analysis research group.
Education, Mathematics and History research group.

Decision Sciences research group.
VITRA (Roads and Transport – UnalMed) research group.
Universidad de Cordoba: Professor Hugo Aduen Muskus.
Universidad de Cartagena: Professor Rafael Galeano.
Universidad de Medellín: Professor José Torres.

Highlighted Projects

2018-23365 TOEPLITZ OPERATORS WITH SLOW OSCILLATION SYMBOLS ACTING IN THE BERGMAN SPACE OF THE UNIT DISK.
2020-33252 THE STUDY OF NON-STANDARD AND STANDARD FUNCTION SPACES, FRACTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS BY MEANS OF THE GENERALIZED FRACTIONAL CALCULUS METHODS.
2018-20650 WEIGHTED SPACES OF SQUARE SUMMABLE DELTA-SUBHARMONIC FUNCTIONS.
2018-22910 DISCONTINUOUS GALERKIN METHOD AND NON-CONFORMING DOMAIN DECOMPOSITION METHOD USING NON-MATCHING MESHES.

Key Research Findings

Banach Spaces of Functions Delta-Subharmonic in the Unit Disc. A Jerbashian, J Pejendino - … Theory and Harmonic Analysis: OTHA 2020 …, 2021 – Springer.
Banach Spaces of Functions Delta-Subharmonic in the Plane. Jerbashian, D Vargas - Operator Theory and Harmonic Analysis:THA …, 2021 – Springer
Banach Spaces of Functions Delta-Subharmonic in the Half-Plane May 2021 DOI:10.1007/978-3-030-77493-6_16
In book: Operator Theory and Harmonic Analysis (pp.279-296)Banach Spaces of Functions Delta-Subharmonic in the Unit Disc May 2021 DOI:10.1007/978-3-030-77493-6_15In book: Operator Theory and Harmonic Analysis (pp.259-277)

Services and/or Products Portfolio

Research in differential equations, analysis , modeling in equations and trainings in these areas.
Some examples: Patents, Technological developments, Inventions, Technical and/or analytical services, specialized consultancies, trainings, courses, among others.