Results 21 to 30 of about 2,480,415 (283)

Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2013
In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė   +1 more
doaj   +1 more source

Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]

open access: yes, 2008
Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
core   +1 more source

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

open access: yesBoundary Value Problems, 2009
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
doaj   +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

Ghost symmetries [PDF]

open access: yes, 2001
We introduce the notion of a ghost characteristic for nonlocal differential equations. Ghosts are essential for maintaining the validity of the Jacobi identity for the charateristics of nonlocal vector ...
Olver, Peter J.   +5 more
core   +1 more source

A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]

open access: yes, 2003
We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Winter, M   +3 more
core   +1 more source

Investigation of spectrum curves for a Sturm-Liouville problem with two-point nonlocal boundary conditions

open access: yesMathematical Modelling and Analysis, 2020
The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on ...
Kristina Bingelė   +2 more
doaj   +1 more source

Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition [PDF]

open access: yes, 2012
summary:The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition.
Dhakne, Machindra B., Tidke, Haribhau L.
core   +1 more source

A problem with nonlocal integral condition of the second kind for one-dimensional hyperbolic equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
doaj   +1 more source

Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models [PDF]

open access: yes, 2002
The one-dimensional diffusion equation governing holographic grating formation in photopolymers, which includes both nonlocal material response and generalized dependence of the rate of polymerization on the illuminating intensity, has been previously ...
Lawrence, Justin R.   +3 more
core   +1 more source

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