However, because of the political situation, her mother voluntarily resigned in 1937, and took a lower position, presumably because she knew she couldn't possibly have been spared the repressions of the late 1930s.
“In the same period she obtained formula that made it possible to compute in simple algebraic terms the numerical parameters that determine classes of uniqueness and well-posed of the Cauchy problem for systems of linear partial differential equations with constant coefficients".
And during the period of the late 1960s, Borok began her series of papers that laid the foundations for the theory of local and non-local boundary value problems in infinite layers for systems of partial differential equations.
Starting in the early 1970s, Borok opened a school for the study of the general theory of Partial Differential Equations in Kharkiv State University.
Many of her papers helped the development of the theory of local and non-local boundary value problems in infinite layers for systems of Partial differential equations.
During her years of being a professor at Kharkiv State University, Borok was considered the teacher of rigorous analysis, which was a course in which many of the students got their first taste in research.
Borok was known for her "creative problems" as well as her development of original lecture notes for many of the core and specialized courses in analysis and Partial differential Equations.
In her studies, translated from Russian, in the Cauchy problem for systems of linear partial differential equations that are functional with respect to parameter, Her summary states that she proves that for the study in Cauchy problem for≠ system of equations of the form đu(x,y,z)/đt = P(đ/đx)u(x,t,ɖy), xɛRn, tɛ[0,T],y>0,ɖ>0, ɖ≠1, uɛCn, Where P(S) is an N x N Matrix with polynomial elements.