Results 71 to 80 of about 3,535 (248)

A representative solution to m-order linear ordinary differential equation with nonlocal conditions by green's functional concept

Mathematical Modelling and Analysis, 2012
In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

Uniqueness of solutions of linear nonlocal boundary value problems

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Johnny Henderson, Curtis J. Kunkel
openaire   +1 more source

Quantization of Polaritons Confined in Dielectric Structures

Laser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani, Dogyun Ko, Maciej Dems, Andrzej Opala, Michał Matuszewski   +4 more
wiley   +1 more source

Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition [PDF]

We prove the global existence and blow-up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition.
Gladkov A., Kavitova T.
core   +1 more source

On some linear two-point inverse problem for a multidimensional heat conduction equation with semi-nonlocal boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
It is known that V.A. Ilyin and E.I. Moiseev studied generalized nonlocal boundary value problems for the Sturm-Liouville equation, the nonlocal boundary conditions specified at the interior points of the interval under consideration. For such problems,
С.З. Джамалов, Ш.Ш. Худойкулов   +1 more
doaj   +1 more source

Linear and nonlinear abstract differential equations of high order

Open Mathematics, 2015
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part.
Shakhmurov Veli B.
doaj   +1 more source

Boundary-Value Problems for Differential-Difference Equations with Incommeasurable Shifts of Arguments Reducible to Nonlocal Problems

Современная математика: Фундаментальные направления, 2019
We consider boundary-value problems for differential-difference equations containing incommeasurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference
E. P. Ivanova
doaj   +1 more source

A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a ...
A. M. Shkhagapsoev
doaj   +1 more source

Nonlocal active sound control for composite regions

Mathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

The solution of an initial-boundary value problem of the filtration theory with nonlocal boundary condition [PDF]

, 2014
The nonlocal initial and boundary value problem for Lavrentiev–Bitsadze equation is considered. By this problem the nonstacionary one-dimentional motion of a groundwater with horizontal stopping is modeling.
Serbina, Ludmila
core   +2 more sources