• Investigation of boundary value problems of solid deformable bodies. Method of potentials and integral equations. Problems of stationary oscillation and statics of theory of elasticity for isotropic bodies. Mathematical modeling and investigation of boundary problems of hemitropic and thermo-hemitropic theory of elasticity. Investigation of boundary problems of stationary oscillation and statics of theory of elastic mixtures. Application of potentials and singular equations method for composite bodies. Examination of boundary value problems considering temperature fields and physical fields of different dimensions Mathematical problems of interaction Diffraction problems for different models of elasticity theory Study of boundary value problems for areas bounded by canonical surfaces for different models of elasticity theory