Conditions of solvability and representation of the solutions of equations with operator matrices

DOI10.1007/s11253-019-01662-3zbMath1442.47006OpenAlexW2981415088MaRDI QIDQ2307636

V. F. Zhuravlev, P. N. Zabrodskiy, N. P. Fomin

Publication date: 25 March 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01662-3

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) Operators on Banach spaces (47B01) Operator matrices (47A08)

Related Items (7)

Bifurcation of the solutions of boundary-value problems for integrodifferential equations with degenerate kernel in Banach spaces ⋮ Generalized inversion of the operator matrices (generalization of the Frobenius theorem) ⋮ Weakly nonlinear boundary-value problems for operator equations in Banach spaces ⋮ Weakly perturbed integrodifferential equations with degenerate kernel in Banach spaces ⋮ Solvability criterion for linear boundary-value problems for integrodifferential Fredholm equations with degenerate kernels in Banach spaces ⋮ Boundary-value problems with control for operator equations in Banach spaces ⋮ Boundary-value problems with control for Fredholm integral equations with degenerate kernels in Banach spaces

Cites Work

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• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Normally solvable operator equations in a Banach space
• Linear boundary value problems for normally solvable operator equations in a Banach space
• Weakly perturbed boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces
• Noetherian boundary-value problems for integral equations
• Application of the ergodic theory to the investigation of boundary-value problems with periodic operator coefficients
• Solvability criterion and representation of solutions of n-normal and d-normal linear operator equations in a Banach space

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