P rominent t ajik f igures of the

Institute of Mathematics

The Institute of Mathematics and its computing center were founded in 1973. It

consists of the following 12 departments:

•

  Theory of Functions

•

  Functional Analysis

•

  Equations of Mathematical Physics

•

  Equations in Partial Derivatives

•

  Integral Equations

•

  Computing Mathematics

•

  Mathematical Theory and Filtration

•

  Hydromechanics

•

  Modeling of Technological Processes

•

  Mathematical Modeling

•

  Mathematical Ecology

•

  Technological Means of Information

The major fields of investigation in the Institute of Mathematics include

•

  Problems Related to the theory of functions and function analysis, differential

and integral equations;

•

  Physical, mathematical, and experimental bases of modeling of hydrodynamic

and thermophysical processes in capillary-porous media, open channels, and

industrial units; and

•

  Mathematical models, algorithms and programs for solving scientific and

economic problems.

The major scientific results thus far constructed include

•

  The theory of wide classes of two-dimensional singular, integral operators

with coefficients, paving considerable gaps in space, with weight, and the

evident formula for calculation of operator's indexes;

•

  The theory of multi-parametric spectral asymptotic elliptic operators with a

spectral asymptote of linear polynomial operational bundles;

•

  The theory of special classes of differential equations with singular

coefficients and peculiar integral equations;

                                                          

∗

 The following is an edited version of the brochure originally published by the Academy of Sciences

of Tajikistan in 1988. Due to the technical nature of the research involved and the results reported,

many of the technical terminology remains the same as in the original.

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