Research: Nonclassical boundary value problems for differential equations and their applications to environmental protection;
Development of methods for improving the technical and economic performance of equipment and technologies of machine-building industries.
Research of dynamics and reliability of machines and equipment; x-ray Diffraction crystallography;
Physics of interphase phenomena.
Thermal physics; New, metal, polymer, structural and composite materials, structural ceramics;
Biodiversity of the Central Caucasus: composition, structure, dynamics, ecology, protection, rational use;
Scientific bases of management of interaction of the person and environment;
Mathematical and information and logical models and their computer assistance;
Methods of increasing diamond tools durability ;
Physics and chemistry of materials and processes of solid-state electronics;
History and culture of the peoples of the North Caucasus;
The problems of history and the theory of literature;
National languages and features of development of literary languages;
The problems of nurturing of a person in modern educational environment (KBR, the North Caucasus region);
Scientific and methodical bases of teaching; in secondary school and institutions of high school.
Medical and biological research;
Adaptive physiology and medicine;
Theory, history and technology of social work;
Physics of the atmosphere and near-earth space;
Development of new nature conservation technologies.