Buchumschlag

On the transformation of the linear differential equation into a system of the first order equations

The generalization of the transformation of the linear differential equation into a system of the first order equations is presented. The proposed transformation gives possibility to get new forms of the N-dimensional system of first order equations that can be useful for analysis of the solutions o...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Вопросы атомной науки и техники
Datum:	2019
1. Verfasser:	Ayzatsky, M.I.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2019
Schlagworte:	Nonlinear processes
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/195169
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	On the transformation of the linear differential equation into a system of the first order equations / M.I. Ayzatsky // Problems of atomic science and technology. — 2019. — № 4. — С. 71-75. — Бібліогр.: 22 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Ähnliche Einträge

Transformation of the linear difference equation into a system of the first order difference equations
von: Ayzatsky, M.I.
Veröffentlicht: (2019)

On the nature of coherents in the system of oscillators
von: Kuklin, V.M.
Veröffentlicht: (2019)

Energy losses of a point magnetic dipole due to interaction with a magnetized plasma cylinder
von: Averkov, Yu.O., et al.
Veröffentlicht: (2021)

Features of weakly nonlinear wave interaction
von: Buts, V.A., et al.
Veröffentlicht: (2019)

Control of wave interaction processes in plasma
von: Buts, V.O., et al.
Veröffentlicht: (2021)

Modulation instability in two component Bose-Einstein condensate with relative component motion
von: Ivashin, A.P., et al.
Veröffentlicht: (2019)

Construction of probabilistic solutions of the Boltzmann equation
von: Virchenko, Yu.P., et al.
Veröffentlicht: (2007)

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

Bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices
von: A. A. Bojchuk, et al.
Veröffentlicht: (2020)

A mathematical apparatus for data analysis for forecasting nonlinear non-stationary processes
von: Shulkevych, T. V., et al.
Veröffentlicht: (2017)

Bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices
von: Boichuk, A. A., et al.
Veröffentlicht: (2020)

Direct and inverse scattering on the line for one-dimensional Schrödinger equation
von: Bazargan, J.
Veröffentlicht: (2007)

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

Periodic solutions for a system of linear nonhomogeneous first order differential equations with rectangular periodic matrices
von: M. A. Elishevich
Veröffentlicht: (2015)

Two consecutive heterogeneous reactions of second order in well mixed aerosol system
von: Kopiychenko, D.Yu., et al.
Veröffentlicht: (2007)

Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
von: Nakpim, W., et al.
Veröffentlicht: (2010)

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

On the Linearization of Second-Order Differential and Difference Equations
von: Dorodnitsyn, V.
Veröffentlicht: (2006)

Boundary-value problem for a system of linear inhomogeneous first-order differential equations with rectangular matrices on the whole axis
von: M. A. Yelishevych
Veröffentlicht: (2020)

Scattering problem for a multidimensional system of first-order partial differential equations
von: Nizhnik, L. P., et al.
Veröffentlicht: (1999)

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)

On solutions of linear functional differential equations with linearly transformed argument on a semiaxis
von: Denysenko, N. L., et al.
Veröffentlicht: (2007)

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)

On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations
von: Mustafa, M.T., et al.
Veröffentlicht: (2013)

Dynamic chaos generated by linear systems
von: Buts, V.A.
Veröffentlicht: (2012)

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

Dirichlet–Neumann type problem for a linear system of hyperbolic equations homogeneous in the order of differentiation
von: S. M. Repetylo, et al.
Veröffentlicht: (2020)

Lie symmetries of linear systems of two second-order ordinary differential equations
von: O. V. Lokaziuk
Veröffentlicht: (2021)

Evaluation of the growth of solutions of systems of linear differential equations of the $n$th order
von: Mokhon’ko, A., et al.
Veröffentlicht: (2025)

Polynomial quasisolutions of linear second-order differential-difference equations
von: Ermolaeva, P. G., et al.
Veröffentlicht: (2008)

Admissible extremals in problems of variational calculus with constraints in the form of the system of linear inhomogeneous differential equations of first order with rectangular matrices
von: M. A. Elishevich
Veröffentlicht: (2019)

On transformation operators for a second order differential equation with operator coefficients
von: Androshchuk, A. A., et al.
Veröffentlicht: (1970)

On the Order of Growth of the Solutions of Linear Differential Equations in the Vicinity of a Branching Point
von: A. A. Mokhonko, et al.
Veröffentlicht: (2015)

On the Order of Growth of the Solutions of Linear Differential Equations in the Vicinity of a Branching Point
von: Mokhonko, A. Z., et al.
Veröffentlicht: (2015)

Intermittency in Hamiltonian systems
von: Slipushenko, S.V., et al.
Veröffentlicht: (2007)

Differential equation of minimal order for a system of polynomials
von: Makarov, V., et al.
Veröffentlicht: (2026)

Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2012)

On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
von: Evtukhov, V. M., et al.
Veröffentlicht: (2002)

Weakly linear systems of integro-differential equations
von: O. A. Boichuk, et al.
Veröffentlicht: (2013)

Linear system of differential equations with turning point
von: Klyuchnyk, I. H., et al.
Veröffentlicht: (2010)