Completed works of Institute of Mathematical Studies
Institute studied spherical mechanism geometry and critical points of surface area in mechanism configuration space. Research shows that surface area is function of Morse. Research adopted a clear formula for the critical point of the Morse index as well as formulas for cyclic spherical polygons. It also shows that the Coulomb potential is a Morse function on the configuration space, clear formulas were made for stabilized charges and based on these theoretical results mechanism control algorithm was developed. Thermoelasticity theory of boundary value problems of two kinds of porous bodies was determined.
Boundary problems solvability conditions were determined in cases of nonlinear differential equations. Sustainability and asymptomacy of the solutions are investigated.
New construct of frobenius algebra is determined as well as its applications in mathematical physics models.