Results 31 to 40 of about 51,657 (240)

On ellipticity of operators with shear mappings

open access: yesСовременная математика: Фундаментальные направления, 2023
The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators.
A. V. Boltachev
doaj   +1 more source

Visco-potential free-surface flows and long wave modelling [PDF]

open access: yes, 2008
In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona   +37 more
core   +4 more sources

Recovering Dirac operator with nonlocal boundary conditions

open access: yesJournal of Mathematical Analysis and Applications, 2016
11 ...
Yang, Chuan-Fu, Yurko, Vjacheslav
openaire   +2 more sources

Distribution of the critical and other points in boundary problems with nonlocal boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2007
In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary condition is investigated. There are critical points of the characteristic function analysed.
Sigita Pečiulytė, Artūras Štikonas
doaj   +1 more source

Nonlocal boundary value problems for hyperbolic-Schrödinger equations with multipoint nonlocal boundary condition

open access: yesAIP Conference Proceedings, 2017
In this work, the stability estimates for the solution of the given problem for hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition are obtained. In applications, the stability estimates for the solutions of the mixed type boundary value problems for hyperbolic-Schrodinger equations are established.
Özdemir, Yıldırım, Erdoğan, Sevilay
openaire   +2 more sources

On a class of nonlocal problems for hyperbolic equations with degeneration of type and order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Nonlocal problems for the second order hyperbolic model equation were studied in the characteristic area. The type and order of equations degenerate on the same line $y = 0$.
Oleg A Repin, Svetlana K Kumykova
doaj   +1 more source

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

open access: yesFractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term

open access: yes, 2013
We consider the evolution of the temperature $u$ in a material with thermal memory characterized by a time-dependent convolution kernel $h$. The material occupies a bounded region $\Omega$ with a feedback device controlling the external temperature ...
Cavaterra, Cecilia, Guidetti, Davide
core   +1 more source

Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor

open access: yesNonlinear Analysis, 2017
We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas   +3 more
doaj   +1 more source

Nonlocal effect on boundary conditions of cantilever nanobeam

open access: yesAIP Conference Proceedings, 2020
Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
openaire   +1 more source

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