Partial integral operators and integro-differential equations
Abstract
Equations of Barbashin type: differential equations in Banach spaces Barbashin equations in the space C Barbashin equations in Lebesgue spaces Barbashin equations in ideal spaces. Theory of linear Barbashin equations: stability of solutions continuous dependence on parameters bounded and periodic solutions degenerate kernels stationary boundary value problems non-stationary boundary value problems general properties operators in spaces with mixed norm partial integral operators in the space C spectral properties linear partial integral equations. Generalizations and applications: generalized equations of Barbashin type nonlinear equations and operators the Newton-Kantorovich method applications of Barbashin equations applications of partial integral equations.