Conditions of solvability and representation of the solutions of equations with operator matrices
VF Zhuravlev, NP Fomin, PN Zabrodskiy - Ukr. Mat. Zh, 2019 - umj.imath.kiev.ua
We propose new methods for the construction of generalized inverse operator matrices for
the operator matrices in Banach spaces. The solvability criteria and the formulas for …
the operator matrices in Banach spaces. The solvability criteria and the formulas for …
[PDF][PDF] Boundary-value problems for weakly singular integral equations
OA Boichuk, VA Feruk - Discrete Contin. Dyn. Syst.-B, 2022 - rmi.tsu.ge
H (t, s)| t− s| β, where H (t, s), H (t, s) are functions bounded in the domain [a, b]×[a, b], 0< γ<
1, 0< β< 1, f∈ L2 [a, b], l= col (l1, l2,..., lp): L2 [a, b]→ Rp, J= col (J1, J2,..., Jp): L2 [a, b]→ Rp …
1, 0< β< 1, f∈ L2 [a, b], l= col (l1, l2,..., lp): L2 [a, b]→ Rp, J= col (J1, J2,..., Jp): L2 [a, b]→ Rp …
Generalized Inversion of the Operator Matrices (Generalization of the Frobenius Theorem)
VP Zhuravlev, MP Fomin - Journal of Mathematical Sciences, 2024 - Springer
We propose methods for the construction of the operator matrices generalized inverse to (2×
2) operator matrices in Banach spaces. We obtain the condition of solvability and a formula …
2) operator matrices in Banach spaces. We obtain the condition of solvability and a formula …
[PDF][PDF] boichuk. aa@ gmail. com, feruk. viktor@ gmail. com
OA Boichuk - researchgate.net
We consider a perturbed linear boundary-value problem for a weakly singular integral
equation. Assume that the generating boundary-value problem is unsolvable for arbitrary …
equation. Assume that the generating boundary-value problem is unsolvable for arbitrary …