Boundary value problems for integro-differential equations of Barbashin type
The solvability of linear integro-differential equations of Barbashin type subject to appropriate boundary conditions is considered. A transformation of such equations to linear two-dimensional integral equations of the second kind is given. Applying a general fixed point principle in \(K\)-normed spaces general existence results are established. The considerations are illustrated by an application to the problem of radiation propagation in physical systems.
linear integro-differential equations of Barbashin type
scientific article; zbMATH DE number 700376
scientific article