Contact-Boundary Problem for Boussinesq-Love Equation and Its Applications

In this prezented work paper, on a rectangular , a contact-boundary problem is justificated in a nonclassical interpretation for the Boussinesq-Love equation. Such a kontakt-boundary problem in a nonclassical interpretation has a number of advantages: in this formulation, no additional conditions of agreement are required; this problem can be regarded as a boundary problem formulated by traces in the Lebeg space. It is proved that such a nonclassical contact-boundary problem is everywhere correctly solvable. The work establishes a representation of the solution of the memory problem. In addition, we note that the Boussinesq-Love equation is one of the main model differential equations of mathematical biology.