Mathematics

Solvability of evolutionary equations in generalized transmission problems for shallow shells

V. F. Kirichenko

Saratov State Technical University, Chair of Mathematics and Modelling

Abstract: We prove the solvability of the generalized transmission problem in the non-classical theory of shallow shells using the method of compactness and a new way of obtaining a priori estimates.

Key words: transmission problems, nonlinear systems of partial differential equations, generalized solutions of boundary value problems, non-classical theory of shells.

UDC: 539.3

DOI: 10.18500/1816-9791-2011-11-4-17-26