Prof. Ivan Pekov Nedialkov (1921-1984) is one of the pioneers in Bulgaria in the development and application of methods of ill-posed problems theory in different regions of science, like geophysics, elementary particle physics, astrophysics, biology, techniques. As a consequence of his more than 30 years of research are obtained results with theoretical importance and by their means are solved classes applied problems. The most important of them are:
Prof. Ivan Nedialkov has received (after his death) a Dimitrov prize
for solving ill-posed problems of the potential theory and their application in geophysics.
The method of transformed areas for analytical application of harmonic
functions and its application for solving problems of geophysics for determining
parameters of deep and extra-deep geological structures and in the physics
of elementary particles for analytical continuation of sattering amplitude
and determining parameters of short-life particles, the resonances
Active display method for solving direct and inverse problem of potential
Method for separating potential fields. Alone or with his collaborators
he created new effective methods for solving the basic geophysical problem
- the inverse problem in potential theory. Part of his research in this
direction has obtained a practical application.
Works in neutrino tomography for studding the Earth structure.
Description, regulation and optimisation of casting processes
by means of ill-posed problems.
Application of mathematical and theoretical physics achievements in
studying technical and technological processes.