Cover Image

Some new conditions for the solvability of the cauchy problem for systems of linear functional-differential equations

We establish efficient conditions sufficient for the unique solvability of certain classes of Cauchy problems for systems of linear functional-differential equations. The conditions obtained are optimal in a certain sense.

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Dil'na, N. Z., Ronto, A. M., Дильная, Н. З., Ронто, А. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3805
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

General conditions for the unique solvability of initial-value problem for nonlinear functional differential equations
by: Dil'na, N. Z., et al.
Published: (2008)

Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators
by: Ronto, A. M., et al.
Published: (2003)

Однозначная разрешимость и устойчивость симметрических и периодических решений слабонелинейных обыкновенных дифференциальных уравнений
by: Дильная, Н.З., et al.
Published: (2009)

On Stability of the Cauchy Equation on Solvable Groups
by: Faiziev, V. A., et al.
Published: (2015)

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 Stability of the Cauchy Equation on Solvable Groups
by: V. A. Faiziev, et al.
Published: (2015)

On the Solvability of Impulsive Differential-Algebraic Equations
by: Vlasenko, L. A., et al.
Published: (2005)

Existence and uniqueness of solution of the Cauchy problem for singular systems of integro-differential equations
by: Shmarda, Z., et al.
Published: (1993)

Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)

On the Periods of Periodic Motions in Autonomous Systems
by: Ronto, A. M., et al.
Published: (2001)

Some remarks concerning the convergence of the numerical-analytic method of successive approximations
by: Meszaros, J., et al.
Published: (1996)

Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
by: Litovchenko, V. A., et al.
Published: (2002)

Solvability of semilinear differential equations with singularity
by: Rutkas, A. G., et al.
Published: (2008)

On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)

Conditions of solvability of the problem inverse to the Cauchy problem for the difference-algebraic equation
by: S. M. Chuiko, et al.
Published: (2021)

On uniqueness of the Cauchy problem solution for some systems of equations with variable coefficients
by: Chaus, N. N., et al.
Published: (1970)

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

On solvability of one class of third order differential equations
by: Bilalov, B. T., et al.
Published: (2021)

On solvability of one class of third order differential equations
by: B. T. Bilalov, et al.
Published: (2021)

On meromorphic solutions of the systems of linear differential equations with meromorphic coefficients
by: Mokhonko, A. Z., et al.
Published: (2019)

Numerical-analytical method in the case of degenerate matrices in boundary conditions
by: Ronto , N. I., et al.
Published: (1992)

Application of the collocation method to solution of boundary value problems
by: Ronto, N. I., et al.
Published: (1971)

The Cauchy problem for a system of linear nonhomogeneous first order differential equations with rectangular matrices
by: M. A. Elishevich
Published: (2013)

New solvability conditions for a non-local boundary value problem for nonlinear functional differential equations
by: Oplustil, Z.
Published: (2008)

Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)

Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)

Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
by: Ospanov, K. N., et al.
Published: (1996)

Investigation of the Cauchy problem for stochastic partial differential equations
by: Perun, H. M., et al.
Published: (1993)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)

Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations
by: Schneider, B.
Published: (2006)

Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations
by: Schneider, B., et al.
Published: (2006)

On coercive solvability of operator-differential equations in $B$-spaces
by: Dzhabrailov, M. S., et al.
Published: (1994)

Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
by: Il'chenko, Yu. V., et al.
Published: (2011)

On the Solvability and Asymptotics of Solutions of One Functional Differential Equation with Singularity
by: Zernov, A. E., et al.
Published: (2001)

On Some Solvable Classes of Nonlinear Nonisospectral Difference Equations
by: Mokhonko, A. A., et al.
Published: (2005)

Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
by: Mestechkina, T. M., et al.
Published: (1987)

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)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)

On meromorphic solutions to the systems of linear differential equations with meromorphic coefficients
by: Mokhonko , A. A., et al.
Published: (2022)