Buchumschlag

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations

For a system of linear differential equations of order $p$ with identically degenerate coefficient matrix of the leading derivatives, we establish conditions under which it has a general solution of the Cauchy type. The structure of this solution is determined. Conditions for the existence and uniq...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2013
Hauptverfasser:	Pafyk, S. P., Yakovets, V. P., Пафик, С. П., Яковець, В. П.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2013
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2419
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

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

Asymptotic analysis of a general solution to a linear singularly perturbed system of higher order differential equations with degenerations
von: S. P. Pafyk, et al.
Veröffentlicht: (2015)

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

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

Asymptotics of a generalized solution of linear singularly perturbed systems of higher order differential equations with degenerations in the case of multiple spectrum of boundary coupling of matrices
von: S. P. Pafyk, et al.
Veröffentlicht: (2014)

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

Construction of asymptotic solutions of linear singularly disturbed second-order system with degenerations
von: Yakovets , V. P., et al.
Veröffentlicht: (1992)

Construction of Asymptotic Solutions of Linear Systems of Differential Equations with Two Small Parameters
von: Yakovets, V. P., et al.
Veröffentlicht: (2003)

Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy
von: Yakovets, V. P., et al.
Veröffentlicht: (1993)

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

On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
von: Akymenko, A. M., et al.
Veröffentlicht: (2002)

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

Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of dynamics of stability of circular cylindrical shells
von: S. P. Pafyk
Veröffentlicht: (2020)

The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2019)

Correctness of the Cauchy problem for trinomial higher-order operator differential equations
von: Shklyar, A. Ya., et al.
Veröffentlicht: (1993)

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

Theorem of the «fork» in Cauchy’s problem for nonlinear partial differential equations of higher orders
von: Kovach, Y. I., et al.
Veröffentlicht: (1966)

Application of functions from multidimensional matrices to solution of systems of linear partial differential equations of higher orders
von: Sokolov, N. P., et al.
Veröffentlicht: (1971)

Correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
von: I. P. Medynskyi
Veröffentlicht: (2019)

Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
von: V. A. Litovchenko
Veröffentlicht: (2013)

Asymptotic solution of the Cauchy problem for the linear singularly perturbed system in case of multiple spectrum of the main operator
von: V. P. Yakovets
Veröffentlicht: (2013)

On generalized Cauchy problem for one class of differential equation of infinite order
von: V. V. Horodetskyi, et al.
Veröffentlicht: (2020)

On generalized Cauchy problem for one class of differential equation of infinite order
von: Horodets’kyi , V. V., et al.
Veröffentlicht: (2020)

Quasiperiodic solutions of functional-singularly perturbed linear ordinary higher-order differential equations
von: V. O. Yeromenko, et al.
Veröffentlicht: (2018)

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

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

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

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

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

Properties of fundamental solutions, theorems on integral representations of solutions and correct solvability of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2018)

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

Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential
von: E. V. Stepanova
Veröffentlicht: (2014)

Periodic solutions of systems of two linear first-order ordinary differential equations with degenerate asymmetric matrix with derivatives
von: Er’omenko, V. O., et al.
Veröffentlicht: (1998)

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

On the Cauchy Problem for Degenerate Difference Equations of the mth Order in a Banach Space
von: Semenyshyna, I. V., et al.
Veröffentlicht: (2003)

Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation
von: Degtyarev, S. P., et al.
Veröffentlicht: (2006)

Polynomial approximations of solutions of higher-order operator-differential equations
von: Orudzhev, G. D., et al.
Veröffentlicht: (1994)

On higher order generalized Emden – Fowler differential equations with delay argument
von: A. Domoshnitsky, et al.
Veröffentlicht: (2015)

On higher order generalized Emden-Fowler differential equations with delay argument
von: Domoshnitsky, A., et al.
Veröffentlicht: (2015)

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