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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:
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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
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Active display method for solving direct and inverse problem of potential
theory.
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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.
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Works in neutrino tomography for studding the Earth structure.
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Description, regulation and optimisation of casting processes
by means of ill-posed problems.
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Application of mathematical and theoretical physics achievements in
studying technical and technological processes.
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.
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