Results 81 to 90 of about 59,795 (219)

On the spectrum of a stationary problem with nonlocal integral type boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2004
We investigated a eigenvalue problem for simple second order ordinary differential equation with one inte­gral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary ...
Sigita Pečiulytė   +2 more
doaj   +3 more sources

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

Second order systems with nonlinear nonlocal boundary conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin   +2 more
doaj   +1 more source

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

On the method of pseudopotential for Schrödingerequation with nonlocal boundary conditions [PDF]

open access: yesAbstract and Applied Analysis, 2001
For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
openaire   +4 more sources

Existence of solutions for an n-dimensional operator equation and applications to BVPs

open access: yesElectronic Journal of Differential Equations, 2014
By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
doaj  

Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes

open access: yesApplied Sciences, 2019
Nowadays, the modified nonlocal strain gradient theory provides a mathematically well-posed and technically reliable methodology to assess scale effects in inflected nano-structures.
Raffaele Barretta   +2 more
doaj   +1 more source

Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures

open access: yes, 2020
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precise description of its asymptotic behavior.
Jevnikar, Aleks   +3 more
core  

Conditioning and error analysis of nonlocal operators with local boundary conditions

open access: yesJournal of Computational and Applied Mathematics, 2018
TUBITAK (MFAG 115F473); European Commission Marie Curie Career Integration 293978; United States Department of Energy (DOE) 1120-1120 ...
Adem Kaya, Burak Aksoylu, Burak Aksoylu
openaire   +5 more sources

Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval

open access: yesBoundary Value Problems, 2011
The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of ...
Xuemei Zhang   +2 more
doaj   +2 more sources

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