The Institute of Mathematics offers its customers services for the performance of research in the field of Differential Equations for application in various fields of science and production under an outsourcing agreement and/or subcontracting and is looking for partners interested in a distribution services agreement.

Fundamental Research Focus Areas:

- Lyapunov exponents of linear and quasilinear systems;
- Stability with respect to linear approximation;
- Lower Perron exponents and uniform Bohl exponents;
- Systems with periodic and almost periodic coefficients;
- Linear Koppel-Conti systems and systems with a small parameter;
- Total differential equations;
- Boundary value problems for equations of mathematical physics.

Applied Research Focus Areas:

- Study of the properties of ordinary differential systems arising in various application areas;
- Derivation of approximate analytical expressions for the relationships between various quantities determined by solutions of such systems.

Key Results:

- A partial Lyapunov problem on stability with respect to linear approximation has been solved;
- A method for estimating the required evacuation time from buildings and structures based on a complete integral fire model has been developed. - An assessment was made of the adequacy of a mathematical model for groundwater iron removal for calculating water supply for small settlements. A modeling methodology and data processing algorithm for calculating water supply for small settlements were proposed.
- Software was developed for modeling COVID-19 incidence dynamics based on the proposed macro-level model of the COVID-19 spread process. A method for approximating isolated waves of the epidemic process using generalized logistic functions with an increased number of exponential functions was proposed, ensuring regularization of the Tikhonov-ill-posed problem of determining the exponents of the generalized logistic function.

The information is posted on the Institute of Mathematics website here. (in Russian)

Research into differential equations at the Institute of Mathematics of the National Academy of Sciences of Belarus (IM NASB) offers access to a specialized department with a rich history and a strong emphasis on asymptotic methods.

The IM NASB Department of Differential Equations, established in 1959, focuses on Lyapunov exponents, system stability, and equations with a small parameter. Researchers have achieved key results, such as solving the Lyapunov stability problem by linear approximation.

Applied research includes fire evacuation modeling, water iron removal, and COVID-19 dynamics, along with software and methodologies.

Institute Activities.

The Institute of Mathematics includes thematic departments and laboratories:
1.Algebra. (in Russian)
2.Computational mathematics and mathematical modeling. (in Russian)
3.Differential equations. (in Russian)
4.Nonlinear and stochastic analysis. (in Russian)
5.Number Theory and Discrete Mathematics. (in Russian)
6.Functional Analysis and Dynamic Systems. (in Russian)

The Institute maintains active creative ties with leading scientific institutions in many countries (Germany, France, Belgium, Russia, Georgia, Ukraine, Greece, Italy, Poland, Austria, China, USA, Great Britain, Denmark, Switzerland, Czech Republic, Yugoslavia, Japan, Bulgaria), and organizes several international conferences, schools, and symposia.

The achievements of the institute’s scientists were recognized by the Lenin Prize (1978), the USSR State Prize (1970, 1972), the BSSR State Prizes (1974, 1978, 1982), the Republic of Belarus State Prize (1998, 2000, 2004), the USSR Council of Ministers Prize (1986), the Lenin Komsomol Prize (1970, 1987) and the Lenin Komsomol of Belarus (1976, 1984, 1990), and the National Academy of Sciences of Belarus Prizes (1993, 1995).

Consumers interested in purchasing services for the performance of research in the field of Differential Equations for application in various fields of science and industry under outsourcing agreement and/or subcontracting/

Partners interested in purchasing services for the performance of research in the field of Differential Equations for application in various fields of science and industry under a distribution services agreement.