"Töö eesmärgiks on uurida: 1) kaasaegse operaadarvutuse aktuaalseid probleeme; 2) rühmade ja nende endomorfismipoolrühmade vahelisi seoseid; 3) moningate ruutvormide taandamispiirkondi; 4) integraal- ja diferentsiaalvorrandeid sisaldavaid mittekorrektseid ülesandeid; 5) ridade summeeruvusmenetlusi."
The aim of the work is the development of new mathematical methods and the solution of actual applied problems. The theme comprise principally three research fields: algebraic systems and their applications, summability and approximation, and solution of direct and inverse problems related to differential equations. The aim research objects are: representations of algebraic systems, Gerstenhaber's algebras, methods of summabily and their applications to the approximation of functions, differential and integral equations. As the excepted result of this work the theoretical base of the mentioned fields will be developed and new methods for the applications worked out.