Buchumschlag

Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient

The method of Green’s functional is a little-known technique for the construction of fundamental solutions to linear ordinary differential equations (ODE) with nonlocal conditions. We apply this technique to a higher order linear ODE involving general nonlocal conditions. A novel kind of adjoint pro...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2019
Hauptverfasser:	Özen, K., Озен, К.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2019
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1422
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

Green&#039;s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient
von: K. Цzen
Veröffentlicht: (2019)

A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients
von: Vlasii, O. D., et al.
Veröffentlicht: (2001)

Nonlocal multipoint problem for an ordinary differential equation of order 2n with a multiple spectrum
von: Ya. O. Baranetskyi, et al.
Veröffentlicht: (2017)

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

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

Nonlocal problem with multipoint perturbations of Dirichlet conditions for even-order partial differential equations with constant coefficients
von: Ya. O. Baranetskyi, et al.
Veröffentlicht: (2018)

Nonlocal multipoint problem for partial differential equations with constant coefficients of even order
von: Ya. O. Baranetskyi, et al.
Veröffentlicht: (2018)

On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients
von: Aliev, A.R.
Veröffentlicht: (2006)

Nonlocal problem for a system of partial differential equations of higher order with pulsed actions
von: A. T. Asanova, et al.
Veröffentlicht: (2019)

Nonlocal problem for а system of partial differential equations of higher order with pulsed actions
von: Assanova, A. T., et al.
Veröffentlicht: (2019)

Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations
von: Muriel, C., et al.
Veröffentlicht: (2012)

Nonlocal boundary-value problem for parabolic equations with variable coefficients
von: Zadorozhna, N. M., et al.
Veröffentlicht: (1995)

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)

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)

Complete Solution of an Inverse Problem for One Class of the High Order Ordinary Differential Operators with Periodic Coefficients
von: Efendiev, R.F.
Veröffentlicht: (2006)

On N-th order nonlinear ordinary random differential equations
von: Dhage, B.C.
Veröffentlicht: (2010)

Un-Reduction of Systems of Second-Order Ordinary Differential Equations
von: García-Toraño Andrés, E., et al.
Veröffentlicht: (2016)

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)

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: Pafyk, S. P., et al.
Veröffentlicht: (2013)

Volterra second-order integro-differential equations unresolved for the higher derivative. The case of semibounded operator coefficients
von: E. V. Sjomkina
Veröffentlicht: (2014)

Asymptotic behavior of solutions of nonautonomous nth order ordinary differential equations
von: V. M. Evtukhov, et al.
Veröffentlicht: (2016)

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

A method of discretization of fractional-derivative systems of ordinary differential equations with constant coefficients
von: F. A. Aliev, et al.
Veröffentlicht: (2020)

On the oscillation of higher order delay differential equations
von: Baculikova, B., et al.
Veröffentlicht: (2012)

Attractors of Ordinary Differential Equations
von: Voskresenskii, E. V., et al.
Veröffentlicht: (2000)

Dirichlet problem for stationary anisotropic higher order partial integro-differential equations with variable exponents of nonlinearity
von: M. M. Bokalo, et al.
Veröffentlicht: (2013)

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

Modular Ordinary Differential Equations on SL(2, ℤ) of Third Order and Applications
von: Chen, Zhijie, et al.
Veröffentlicht: (2022)

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

Nonlocal time multipoint nonlocal problem for a certain class of infinite order partial differential equations
von: V. V. Horodetskyi, 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 Generalized Regularized Trace of a Fourth-Order Differential Operator with Operator Coefficient
von: H. M. Aslanova, et al.
Veröffentlicht: (2014)

On Generalized Regularized Trace of a Fourth-Order Differential Operator with Operator Coefficient
von: Aslanova, N. M., et al.
Veröffentlicht: (2014)

Exponentially Convergent Method for the First-Order Differential Equation in a Banach Space with Integral Nonlocal Condition
von: V. B. Vasylyk, et al.
Veröffentlicht: (2014)

Exponentially Convergent Method for the First-Order Differential Equation in a Banach Space with Integral Nonlocal Condition
von: Vasylyk, V. B., et al.
Veröffentlicht: (2014)

On generalized solutions of differential equations with operator coefficients
von: Chernobai, O. B., et al.
Veröffentlicht: (2006)

A non-local problem with multipoint perturbations of the boundary conditions of the Sturm-type for an ordinary differential equation of even order
von: Ya. O. Baranetskyi, et al.
Veröffentlicht: (2019)

Initial-boundary value problem for higher-order integro-differential elliptic-parabolic equations with variable exponents of nonlinearity
von: M. M. Bokalo, et al.
Veröffentlicht: (2017)

Classification of Lie reductions of generalized Kawahara equations with variable coefficients
von: O. O. Vanieieva, et al.
Veröffentlicht: (2022)