Results 21 to 30 of about 542,997 (336)

Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems

open access: yesBoundary Value Problems, 2019
The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun   +3 more
doaj   +1 more source

On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2019
A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered.
Dovlet M. Dovletov
doaj   +1 more source

Exact scattering waves off nonlocal potentials under Coulomb interaction within Schrödinger's integro-differential equation

open access: yesPhysics Letters B, 2019
An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function in coordinate space whose associated kernel involves ...
H.F. Arellano, G. Blanchon
doaj   +1 more source

Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]

open access: yes, 2018
We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret   +3 more
core   +2 more sources

NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR

open access: yes, 2020
: In this paper, we consider a non-self-adjoint boundary value problem for a fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a ...
T. Yuldashev, Bakhtiyor J. Kadirkulovich
semanticscholar   +1 more source

Distributed optimal control of a nonstandard nonlocal phase field system [PDF]

open access: yes, 2016
We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi   +2 more
core   +4 more sources

Free vibrations of nonlocally elastic rods [PDF]

open access: yes, 2019
Several of the Eringen’s nonlocal stress models, including two-phase and purely nonlocal integral models, along with the simplified differential model, are studied in case of free longitudinal vibrations of a nanorod, for various types of boundary ...
Avdeichik, E   +2 more
core   +2 more sources

Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation

open access: yesNonlinear Analysis, 2019
In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
doaj   +1 more source

A new nonlocal nonlinear diffusion equation for image denoising and data analysis [PDF]

open access: yes, 2017
In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically detected ...
Aletti, Giacomo   +2 more
core   +2 more sources

Hyperbolic differential-difference equations with nonlocal potentials [PDF]

open access: yesUfa Mathematical Journal, 2021
Summary: We consider a three-parametric set of solutions for a two-dimensional hyperbolic differential-difference equation in a half-plane containing the sum of a differential operator and shift operators with respect to a spatial variable ranging on the entire real axis (or a differential-difference equation with nonlocal potentials).
openaire   +2 more sources

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