Cover Image

A criterion for the solvability of A linear boundary-value problem for A system of the second order

We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general...

Full description

Saved in:

Bibliographic Details
Date:	2000
Main Authors:	Shovkoplyas, V. N., Шовкопляс, В. Н.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4484
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

Solvability of a Three-Point Boundary-Value Problem for a Second-Order Differential Inclusion
by: Vityuk, A. N., et al.
Published: (2003)

On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations
by: N. Dilna
Published: (2016)

On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations
by: Dilna, N.Z.
Published: (2016)

A linear periodic boundary-value problem for a second-order hyperbolic equation
by: Khoma, N. H., et al.
Published: (1999)

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)

Linear periodic boundary-value problem for a second-order hyperbolic equation. I
by: Khoma, N. H., et al.
Published: (1998)

Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem
by: Khoma, N. H., et al.
Published: (1998)

Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order
by: Mitropolskiy, Yu. A., et al.
Published: (1998)

The solvability of a boundary-value periodic problem
by: Petrovskii, Ya. B., et al.
Published: (1997)

Solvability of a boundary-value problem for degenerate equations
by: T. Gadjiev, et al.
Published: (2020)

Solvability of a boundary-value problem for degenerate equations
by: Gadjiev, T., et al.
Published: (2020)

To a tensor analysis of the solvability of the problem of realization of a second-order bilinear system with delay
by: A. V. Lakeev, et al.
Published: (2021)

On some boundary value problems for linear multidimensional hyperbolic equations of the second order
by: Aldashev , S. A., et al.
Published: (1991)

Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
by: Aliev, B. A., et al.
Published: (2010)

The behavior of solutions of the mixed boundary value problem for a linear second-order elliptic equation in a neighbourhood of intersecting edges
by: Plesha, M.
Published: (2008)

Solution of one boundary-value problem for a hyperbolic equation of the second order
by: Khoma, S. G., et al.
Published: (2000)

Boundary values of solutions to linear second order parabolic equations
by: Skrypnik, I. I., et al.
Published: (1992)

On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions
by: Storozh, O. G., et al.
Published: (1995)

Conditions for the Existence of Solutions of a Periodic Boundary-Value Problem for an Inhomogeneous Linear Hyperbolic Equation of the Second Order. I
by: Mitropolskiy, Yu. A., et al.
Published: (2005)

Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Avci, H., et al.
Published: (2011)

Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Buryachenko, K. O., et al.
Published: (2011)

Solvability of inhomogeneous boundary-value problems for fourth-order differential equations
by: Avci, H., et al.
Published: (2011)

Solvability of linear boundary-value problems for ordinary differential systems in the space $C^{n}$
by: Soldatov, V., et al.
Published: (2025)

Conditions for the solvability of the problem inverse to the linear autonomous Noether boundary-value problem
by: S. M. Chuiko
Published: (2022)

On boundary-value problems for a second-order differential equation with complex coefficients in a plane domain
by: Burskii, V. P., et al.
Published: (1996)

Boundary-value problem for a system of linear nonhomogeneous first order differential equations with rectangular matrices
by: M. A. Elishevich
Published: (2016)

The Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
by: A. F. Guliyev, et al.
Published: (2014)

Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
by: Guliyev, A. F., et al.
Published: (2014)

Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients
by: Guliyev, A.F., et al.
Published: (2014)

Nonlocal boundary-value problem for a second-order partial differential equation in an unbounded strip
by: I. I. Volianska, et al.
Published: (2018)

Nonlocal boundary-value problem for a second-order partial differential equation in an unbounded strip
by: Il'kiv, V. S., et al.
Published: (2018)

Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
by: Aliev, B. A., et al.
Published: (2006)

On the solvability of a nonlinear difference boundary value problem in the case of parametric resonance
by: S. M. Chuiko, et al.
Published: (2020)

Criterion of continuity with respect to parameter of solutions of boundary-value problems for systems of higher-order differential equations
by: O. O. Murach, et al.
Published: (2016)

On three solutions of the second order periodic boundary-value problem
by: Draessler, J., et al.
Published: (2001)

On a periodic type boundary-value problem for first order linear functional differential equations
by: Hakl, R., et al.
Published: (2002)

The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
by: G. Yagub, et al.
Published: (2018)

The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
by: Yagub, G., et al.
Published: (2018)

A criterion of solvability of resonant equations and construction of their solutions
by: O. A. Boichuk, et al.
Published: (2019)