Buchumschlag

Conditions of existence of bounded solutions of differential equation in Banach space on the real axis

We consider an equation of the form $y''(t)- By(t) = f(t), \ t \in (-\infty, \infty)$, where $B$ is a positive operator in a Banach space. For the vector-valued function $f(t)$, we establish sufficient conditions under which a bounded solution to this equation exists and is unique.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2016
Автори та афіліації:	В. М. Горбачук — Нацiональний технiчний унiверситет України "КПI"
Ключові слова:	keywords
Hauptverfasser:	Gorbachuk, V. M., Горбачук, В. М.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Інститут математики НАН України 2016
Online Zugang:	https://trim.imath.kiev.ua/index.php/trim/article/view/209
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Ähnliche Einträge

Conditions of existence of bounded solutions of differential equation in Banach space on the real axis
von: V. M. Horbachuk
Veröffentlicht: (2016)

On solutions of differential equations in Banach space on the whole real axis
von: Gorbachuk, V. M., et al.
Veröffentlicht: (2015)

On solutions of differential equations in Banach space on the whole real axis
von: V. M. Horbachuk
Veröffentlicht: (2015)

Existence of bounded solutions of nonlinear difference equations in a Banach space
von: I. M. Hrod
Veröffentlicht: (2013)

Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
von: Yu. Sliusarchuk
Veröffentlicht: (2013)

On bounded on the whole real axis solutions of nonlinear functional-difference equations and their properties
von: I. V. Betsko, et al.
Veröffentlicht: (2017)

Conditions of existence of bounded and almost periodic solutions of nonlinear differential equation with perturbations of solutions
von: Yu. Sliusarchuk
Veröffentlicht: (2016)

Invertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axis
von: Yu. Sliusarchuk
Veröffentlicht: (2021)

Bounded solutions of a difference equation in Banach space with input data in subspaces
von: A. V. Chaikovskyi, et al.
Veröffentlicht: (2021)

Properties of the isolated solutions bounded on the entire axis for a system of nonlinear ordinary differential equations
von: D. S. Dzhumabaev, et al.
Veröffentlicht: (2016)

Existence and asymptotic properties of a solution of a nonlinear boundary-value problem on the real axis
von: I. O. Parasiuk, et al.
Veröffentlicht: (2020)

Bounded solutions of difference equations in a Banach space with asymptotically constant operator coefficient
von: A. V. Chaikovskyi, et al.
Veröffentlicht: (2021)

Structure of solutions of differential equations in a Banach space on an infinite interval
von: V. M. Horbachuk
Veröffentlicht: (2016)

On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
von: Aliev, A.R.
Veröffentlicht: (2006)

Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions
von: F. H. Abdullaiev, et al.
Veröffentlicht: (2019)

Conditions for the existence of basic solutions of linear multivalued differential equations
von: T. O. Komlieva, et al.
Veröffentlicht: (2021)

Entire solutions of one linear implicit differential-difference equation in Banach spaces
von: S. L. Hefter, et al.
Veröffentlicht: (2018)

Periodic solutions of nonlinear differential equations with pulse influence in a Banach space
von: Perestyuk, N.A., et al.
Veröffentlicht: (1995)

Controllability conditions for Fredholm integro-differential equations with degenerate kernel in Banach spaces
von: V. P. Zhuravlov, et al.
Veröffentlicht: (2021)

The direct and inverse theorems of the approximation theory for solutions of differential equations in a Banach space
von: M. L. Horbachuk, et al.
Veröffentlicht: (2016)

Lyapunov transformation and stability of differential equations in Banach spaces
von: Tran Thi Loan
Veröffentlicht: (1999)

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

Conditions for the Existence of Local Solutions of Set-Valued Differential Equations with Generalized Derivative
von: A. V. Plotnikov, et al.
Veröffentlicht: (2013)

On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
von: Nguyen Sinh Bay, et al.
Veröffentlicht: (2008)

Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
von: A. O. Ignatev
Veröffentlicht: (2015)

Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative
von: Yu. Sliusarchuk
Veröffentlicht: (2014)

Weakly perturbed integro-differential equations with degenerate kernel in Banach spaces
von: V. P. Zhuravlov, et al.
Veröffentlicht: (2020)

Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces
von: V. F. Zhuravlev
Veröffentlicht: (2018)

Exponentially Convergent Method for the First-Order Differential Equation in a Banach Space with Integral Nonlocal Condition
von: V. B. Vasylyk, et al.
Veröffentlicht: (2014)

Dichotomy on half-axes, and bounded on the whole axis solutions of linear systems with delay
von: A. A. Bojchuk, et al.
Veröffentlicht: (2015)

Homomorphisms of algebras of entire functions of bounded type on a Banach space
von: A. V. Zahorodniuk, et al.
Veröffentlicht: (2013)

Inequalities for Nonperiodic Splines on the Real Axis and Their Derivatives
von: V. O. Kofanov
Veröffentlicht: (2014)

Best Approximations for the Cauchy Kernel on the Real Axis
von: V. V. Savchuk, et al.
Veröffentlicht: (2014)

Existence of local and global solutions of fractional order differential equations
von: Muslim, M., et al.
Veröffentlicht: (2011)

On the existence of solutions of the Beltrami equations with conditions on inverse dilatations
von: Ye. O. Sevostianov
Veröffentlicht: (2021)

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

On the Favard theory without H-classes for differential-functional equations in Banach spaces
von: Yu. Sliusarchuk
Veröffentlicht: (2019)

On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space
von: Brayman, V.B.
Veröffentlicht: (2005)

Bounded solutions of a differential equation with piecewise constant operator coefficients
von: M. F. Horodnii, et al.
Veröffentlicht: (2021)

On Subharmonic Functions of the First Order with Restrictions on the Real Axis
von: Poedintseva, I.V.
Veröffentlicht: (2008)