Govda Y. Boundary value problems for the system of equations generated by locally gradient theory of elasticity

Thesis is devoted to boundary value problems for a class of systems of second order equations generated by locally gradient theory of elasticity. Such class of systems of equations has arisen by construction of the mathematical model for locally gradient inertial solids. This model describes at three-dimensional approach the interface and nearcontact phenomena in solids taking into account wave character of chemical potential field. For such class of systems of equations the new mixed problems were set and a concept of weak and strong solutions of these problems was entered. The conditions of existence, uniqueness and continuous dependence on the initial data of weak and strong solutions of the boundary value problems were established . As a consequence correctness of the boundary value problems of locally gradient inertial elasticity was received. Key words: boundary value problems, correctness, weak solution, strong solution, local gradientality, inertia.