Cover Image

Problem without initial conditions for linear and almost linear degenerate operator differential equations

We study the problem without initial conditions for linear and almost linear degenerate operator differential equations in Banach spaces. The uniqueness of a solution of this problem is proved in the classes of bounded functions and functions with exponential behavior as t → –∞. We also establish su...

Full description

Saved in:

Bibliographic Details
Date:	2009
Main Authors:	Dmytryshyn, Yu. B., Дмитришин, Ю. Б.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3022
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

Primary multiplicative systems of almost linear operators for almost linear additive operator system without continuity conditions
by: Butsan , G. P., et al.
Published: (1988)

On the problem without initial conditions for a nonlinear degenerating parabolic system
by: Pukach, P. Ya., et al.
Published: (1994)

Asymptotic Solutions of Systems of Linear Degenerate Integro-Differential Equations
by: Zavizion, G. V., et al.
Published: (2003)

Nonlocal Dirichlet problem for linear parabolic equations with degeneration
by: Pukalskyi, I. D., et al.
Published: (2007)

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: S. P. Pafyk, et al.
Published: (2013)

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: Pafyk, S. P., et al.
Published: (2013)

On periodic solutions of linear degenerate second-order ordinary differential equations
by: Er’omenko, V. O., et al.
Published: (1997)

On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression
by: Bruk, V.M.
Published: (2009)

Nonlocal parabolic problem and optimal control problem for linear equations with degeneration
by: I. D. Pukalskyi
Published: (2012)

Isomorphism of multiplicative and additive stochastic semigroups of almost linear operators with conditions of continuity
by: Laytambur , K. N., et al.
Published: (1991)

Quasiperiodic solutions of degenerate linear systems of second-order ordinary differential equations
by: Er’omenko, V. O., et al.
Published: (2010)

On the solvability of an inverse problem to the linear autonomous integral-differential equation of the Fredholm type with a degenerate kernel
by: S. M. Chuiko, et al.
Published: (2022)

Boundary-value problem with mixed conditions for linear typeless partial differential equations
by: Ptashnik, B. I., et al.
Published: (2016)

On the structure of the general solution of a degenerate linear system of second-order differential equations
by: Yakovets, V. P., et al.
Published: (1998)

Boundary-value problem with mixed conditions for linear typeless partial differential equations
by: B. Y. Ptashnyk, et al.
Published: (2016)

Reducibility of linear systems of difference equations with almost periodic coefficients
by: Martynyuk, D. I., et al.
Published: (1993)

Favard–Amerio theory for almost periodic functional-differential equations without the use of (H)-classes of these equations
by: Yu. Sliusarchuk
Published: (2017)

Favard – Amerio theory for almost periodic functional-differential equations without the use of $H$-classes of these equations
by: Slyusarchuk, V. Yu., et al.
Published: (2017)

Linear Noether boundary-value problems for degenerate differential-algebraic systems with pulse influence
by: S. M. Chujko, et al.
Published: (2016)

Asymptotics of the general solution of the linear singularly perturbed system of higher-order differential equations with degenerations
by: S. P. Pafyk
Published: (2018)

On linear homogeneous almost periodic systems that satisfy the Favard condition
by: Tkachenko, V. I., et al.
Published: (1998)

New development of homotopy analysis method for non-linear integro-differential equations with initial value problems
by: Z. Eshkuvatov
Published: (2022)

On problems without initial conditions for singular parabolic systems
by: M. I. Konarovska
Published: (2012)

Solvability criterion of linear boundary-value problems for integro-differential Fredholm equations with a degenerate kernel in Banach spaces
by: O. A. Boichuk, et al.
Published: (2020)

Solvability criterion of linear boundary-value problems for integro-differential Fredholm equations with a degenerate kernel in Banach spaces
by: Boichuk , A. A., et al.
Published: (2020)

On linear almost periodic pulse systems
by: Tkachenko, V. I., et al.
Published: (1993)

On the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operator
by: Šremr, J., et al.
Published: (2007)

Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives
by: Kasymov, K. A., et al.
Published: (2013)

Pseudoparabolic variational inequalities without initial conditions
by: Lavrenyuk, S. P., et al.
Published: (1998)

Conditions for the existence of basic solutions of linear multivalued differential equations
by: Komleva, T. A., et al.
Published: (2021)

Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives
by: K. A. Kasymov, et al.
Published: (2013)

Approximate Method of Construction of Almost Periodic Solutions of Linear Systems of Differential Equations, Defined on the Infinite-Dimensional Torus
by: Теплінський, Юрій
Published: (2020)

Approximate Method of Construction of Almost Periodic Solutions of Linear Systems of Differential Equations, Defined on the Infinite-Dimensional Torus
by: Yu. V. Teplinskyi
Published: (2020)

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

Some new conditions for the solvability of the cauchy problem for systems of linear functional-differential equations
by: Dil'na, N. Z., et al.
Published: (2004)

Nonlocal boundary-value problems for systems on linear partial differential equations
by: Goi, T. P., et al.
Published: (1997)

On asymptotics construction for a multipoint boundary-value problem for a linear degenerate singularly perturbed differential system
by: M. B. Vira
Published: (2015)

On some properties of degenerate linear systems
by: Yakovets, V. P., et al.
Published: (1997)

Problem without initial conditions for a countable semilinear hyperbolic system of first-order equations
by: V. M. Kyrylych, et al.
Published: (2016)

Problem without initial conditions for a countable semilinear hyperbolic system of first-order equations
by: Kirilich, V. M., et al.
Published: (2016)