Cover Image

Perturbation Theory of Operator Equations in the FréChet and Hilbert Spaces

The perturbation theory is constructed in the Fréchet and Hilbert spaces. An iterative process is proposed for finding branching solutions.

Saved in:

Bibliographic Details
Date:	2015
Main Authors:	Boichuk, О. A., Pokutnyi, О. О., Бойчук, А. А., Покутный, А. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2015
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2057
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space
by: Boichuk, О. A., et al.
Published: (2014)

Perturbation Theory of Operator Equations in the FrйChet and Hilbert Spaces
by: A. A. Bojchuk, et al.
Published: (2015)

Application of the ergodic theory to the investigation of a boundaryvalue problem with periodic operator coefficient
by: Boichuk, О. A., et al.
Published: (2013)

Normally solvable operator equations in a Banach space
by: Boichuk, О. A., et al.
Published: (2013)

Solvability of integrodifferential equations with nondegenerate kernel in Hilbert spaces
by: Boichuk, О. A., et al.
Published: (2023)

Singularly perturbed self-adjoint operators in scales of Hilbert spaces
by: Kuzhel', S. A., et al.
Published: (2007)

Экспоненциальная дихотомия и ограниченные решения дифференциальных уравнений в пространстве Фреше
by: Бойчук, А.А., et al.
Published: (2014)

Приложение эргодической теории к исследованию краевой задачи с периодическим операторным коэффициентом
by: Бойчук, А.А., et al.
Published: (2013)

Теория возмущений операторных уравнений в пространствах Фреше и Гильберта
by: Бойчук, А.А., et al.
Published: (2015)

Singularly perturbed self-adjoint operators in scales of Hilbert spaces
by: Albeverio, S., et al.
Published: (2007)

Boundary-value problems for the system of operator-differential equations in the Banach and Hilbert spaces
by: O. Z. Iskra, et al.
Published: (2021)

Exponential Dichotomy and Bounded Solutions of Differential Equations in the Frйchet Space
by: A. A. Bojchuk, et al.
Published: (2014)

Implicit linear difference equation in Frechet spaces
by: S. L. Gefter, et al.
Published: (2017)

Singular Perturbations of Self-Adjoint Operators Associated with Rigged Hilbert Spaces
by: Bozhok, R. V., et al.
Published: (2005)

Limiting incorrect equations in the Hilbert space
by: Pogorui , A. A., et al.
Published: (2025)

Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
by: Boichuk, А. A., et al.
Published: (2002)

On properties of subdifferential mappings in Fréchet spaces
by: Kasyanov, P. O., et al.
Published: (2005)

Bifurcation conditions for solutions of the Lyapunov equation in a Hilbert space
by: Ye. V. Panasenko, et al.
Published: (2017)

On one class of nonlinear operator equations in Hilbert spaces
by: Britov, N.A.
Published: (2000)

Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values
by: Kashpur, O. F., et al.
Published: (2003)

Boundary-value problems for systems of difference equations
by: Boichuk, О. A., et al.
Published: (1997)

Solvability of integrodifferential equations with nondegenerate kernel in Hilbert spaces
by: O. A. Boichuk, et al.
Published: (2023)

Нормально разрешимые операторные уравнения в банаховом пространстве
by: Бойчук, А.А., et al.
Published: (2013)

A multiplicity theorem for Fréchet spaces
by: K. A. Eftekharinasab
Published: (2022)

A multiplicity theorem for Fréchet spaces
by: Eftekharinasab, K.A.
Published: (2022)

Boundary-value problems with control for operator equations in Banach spaces
by: Boichuk , О. A., et al.
Published: (2021)

Weakly perturbed operator equations in Banach spaces
by: Zhuravlev, V. F., et al.
Published: (2017)

Nonlinear boundary-value problems for systems of ordinary differential equations
by: Boichuk, О. A., et al.
Published: (1998)

Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space
by: D. S. Bihun, et al.
Published: (2021)

Weakly perturbed operator equations in Banach spaces
by: V. F. Zhuravlev
Published: (2017)

Approximation of unbounded operators by bounded operators in a Hilbert space
by: Bilichenko, R. O., et al.
Published: (2009)

On Banach and Fréchet spaces of Laplace – Stieltjes integrals
by: A. O. Kuryliak, et al.
Published: (2021)

A global diffeomorphism theorem for Fréchet spaces
by: K. Eftekharinasab
Published: (2019)

Some uniqueness result on controllability for functional semilinear differential equations in Fréchet spaces
by: Arara, A., et al.
Published: (2003)

Autonomous nonlinear boundary-value problems for the Lyapunov equation in Hilbert space
by: Bihun, D. S., et al.
Published: (2021)

Периодические решения уравнения Хилла
by: Покутный, А.А.
Published: (2013)

Представление решений краевых задач для уравнения Шрёдингера в пространстве Гильберта
by: Покутный, А.А.
Published: (2014)

Substantiation of the averaging method for differential-difference equations in the Hilbert space
by: Mіtrоpоlskу, Yu. A., et al.
Published: (1971)

On perturbation of semi-Noether operators in incomplete spaces. I
by: Plaksa, S. A., et al.
Published: (1993)

On perturbation of semi-Noether operators in incomplete spaces. II
by: Plaksa, S. A., et al.
Published: (1993)