Generalized inversion of Fredholm integral operators with degenerate kernels in Banach spaces

DOI10.1007/s10958-015-2664-2zbMath1357.47050OpenAlexW2272508053MaRDI QIDQ261690

V. P. Zhuravl'ov

Publication date: 24 March 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2664-2

zbMATH Keywords

Fredholm integral operatorgeneralized invertibility

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Integral operators (47G10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Fredholm integral equations (45B05)

Related Items

Controllability conditions for Fredholm integrodifferential equations with degenerate kernel in Banach spaces, Solvability of linear integrodifferential equations with nondegenerate kernel in Hilbert spaces, Bifurcation of the solutions of boundary-value problems for integrodifferential equations with degenerate kernel in Banach spaces, Generalized inverse operator for an integrodifferential operator in the Banach space, Weakly perturbed Fredholm integral equations with degenerate kernels in Banach spaces, Weakly perturbed integrodifferential equations with degenerate kernel in Banach spaces, Weakly nonlinear boundary-value problems for the Fredholm integral equations with degenerate kernels in Banach spaces, Solvability criterion for linear boundary-value problems for integrodifferential Fredholm equations with degenerate kernels in Banach spaces, Weakly perturbed boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces, Boundary-value problems with control for Fredholm integral equations with degenerate kernels in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Normally solvable operator equations in a Banach space
• Topological Noetherian operators: Generalized invertibility and additive representation
• Solvability criterion and representation of solutions of n-normal and d-normal linear operator equations in a Banach space