Mikheil Basheleishvili

Investigation of the Boundary Value Problems of Statics of an Elastic Mixture

abstract:
Both the domains $D^{+}$ and $D^{-}$ are considered, where the third and the fourth problems are formulated. Green's formulas are written and by means them uniqueness theorems are proved for the third and fourth problems. For the third and fourth problems, in the domains $D^{+}$ and $D^{-}$ Fredholm integral equations are derived and existence theorem are proved.

Mathematics Subject Classification: 74B05

Key words and phrases: Third and the fourth problems, Fredholm integral equations, Green's formula, uniqueness and existence theorems