Results 11 to 20 of about 13,856,788 (331)

Bi-arc boundary functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
Introduction. A function f is a boundary function if f is defined on the real line and is the limit in some restricted sense of a function 4) defined on the open upper half-plane or if f is defined on the unit circle and is the limit in some restricted sense of a function 1 defined on the open unit disk. Bagemihl and Piranian [I] and Kaczynski [2] have
L. Snyder
openaire   +3 more sources

Boundary functions for bounded harmonic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1969
Let D be the open unit disk in the complex plane and let C be its boundary, the unit circle. If 4 E C, then by an arc at t we mean a simple arc y with one endpoint at 4 such that y { } ( D. In this paper we use the term boundazy function in the following sense.
T. Kaczynski
openaire   +2 more sources

Coordination of meristem and boundary functions by transcription factors in the SHOOT MERISTEMLESS regulatory network. [PDF]

open access: yesDevelopment, 2018
The Arabidopsis homeodomain transcription factor SHOOT MERISTEMLESS (STM) is crucial for shoot apical meristem (SAM) function, yet the components and structure of the STM gene regulatory network (GRN) are largely unknown.
Scofield S   +7 more
europepmc   +2 more sources

DeepGreen: deep learning of Green’s functions for nonlinear boundary value problems [PDF]

open access: yesScientific Reports, 2020
Boundary value problems (BVPs) play a central role in the mathematical analysis of constrained physical systems subjected to external forces. Consequently, BVPs frequently emerge in nearly every engineering discipline and span problem domains including ...
Craig Gin, D. Shea, S. Brunton, J. Kutz
semanticscholar   +1 more source

Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions. [PDF]

open access: yesPhysical Review Letters, 2019
Genuinely non-Hermitian topological phases can be realized in open systems with sufficiently strong gain and loss; in such phases, the Hamiltonian cannot be deformed into a gapped Hermitian Hamiltonian without energy bands touching each other.
Heinrich-Gregor Zirnstein   +2 more
semanticscholar   +1 more source

Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions

open access: yesApplied Mathematics, 2019
for a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary ...
Chein-Shan Liu, Botong Li
semanticscholar   +1 more source

Behaviour of boundary functions for quantum billiards [PDF]

open access: yes, 2002
We study the behaviour of the normal derivative of eigenfunctions of the Helmholtz equation inside billiards with Dirichlet boundary condition. These boundary functions are of particular importance because they uniquely determine the eigenfunctions ...
A. Backer   +3 more
semanticscholar   +1 more source

Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivatives

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
The article is devoted to the study analytical formula of solution of boundary value problem with initial jump for a linear integro-diferential equation of n + m order with a small parameter in the highest derivatives.
A.E. Mirzakulova, N. Atakhan
doaj   +1 more source

Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods

open access: yesAdvances in Difference Equations, 2021
For nonlinear third-order three-point boundary value problems (BVPs), we develop two algorithms to find solutions, which automatically satisfy the specified three-point boundary conditions.
Ji Lin, Yuhui Zhang, Chein-Shan Liu
doaj   +1 more source

Home - About - Disclaimer - Privacy