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Boundary-Value Problems with Control for Fredholm Integral Equations with Degenerate Kernels in Banach Spaces

Zhuravlev, V. P. ; Fomin, N. P.

Journal of mathematical sciences (New York, N.Y.), 2022-08, Vol.265 (4), p.651-668 [Periódico revisado por pares]

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Título:
Boundary-Value Problems with Control for Fredholm Integral Equations with Degenerate Kernels in Banach Spaces
Autor: Zhuravlev, V. P. ; Fomin, N. P.
Assuntos: Banach space ; Boundary value problems ; Fredholm equations ; Integral equations ; Kernels ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Operators (mathematics)
É parte de: Journal of mathematical sciences (New York, N.Y.), 2022-08, Vol.265 (4), p.651-668
Descrição: We establish conditions for the existence of solutions of boundary-value problems with control for the Fredholm integral equations with degenerate kernels in Banach spaces and determine the general form of these solutions. We also find the general form of control for which these solutions exist. The problem is solved by using the theory of generalized inversion of Fredholm integral operators with degenerate kernels in Banach spaces and pseudoinversion of Fredholm integral operators with degenerate kernels in finite-dimensional spaces.
Editor: New York: Springer US
Idioma: Inglês

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