• Investigation and mathematical modeling of pulse processes in order to create an effective method of controlling these processes to optimize discharge-pulse technologies

• Investigation of physical and technical aspects of the development of pulse parametric nonlinear capacitive current generators to implement the pre-programmed time law of current change and in advance of the law of change of on-load current and voltage

• Investigation of the effect of pulse action on the stress-strain state of the material of welded joints

• Finding ways for intensification of welding of dissimilar metals in a solid state using different pulse influences

• Mathematical modeling of pulse energy conversion processes and pulse hydrodynamic effects on condensed media and structural elements

• the use of mathematical statistics helped to study the effect of different random stochastic values on the processes of energy transformation at various stages of underwater electrical explosion, the correlations of these values are studied, and the most important factors determining the efficiency of energy conversion are established;

• new ways to manage power and electrodynamic characteristics of electrodischarge devices by parametric changes in the process of discharge R of L-discharge circuit elements and the use of multi-circuit capacitive pulse current generators are proposed and implemented.

• established the basic electromagnetic, electrical and hydrodynamic patterns of electric energy parameters control systems using a high-voltage electro-controlled explosion that allowed the development of a combined energy storage based on high-voltage electrochemical explosion tenfold increase in the specific energy performance;

• an original method for solving the fundamental problem of mobile and mobile-permeable boundaries control in the wave equation is further developed, the analytical solutions of inverse problems of wave equations in domains with mobile and mobile-permeable boundaries for the case of a cylindrical extension of a finite length discharge channel in water are obtained;

• methods of solving the inverse problems of synthesis and relevant and mathematical models, and methods of calculating the parameters and operating modes of nonlinear, nonlinear parametric and multi-loop capacitive energy storage devices used in discharge-pulse technologies for their optimization are developed.

• PNPES- pulse nonlinear parametric energy source;

• IHP - inverse hydrodynamic problem;

• IEP - inverse electrodynamic problem;

• PS - the problem of synthesis;

• DP - direct problem;

• TS - technological scope.