A DIFFERENCE EQUATION WITH DIRICHLET BOUNDARY CONDITIONS

TitleA DIFFERENCE EQUATION WITH DIRICHLET BOUNDARY CONDITIONS
Publication TypeJournal Article
Year of Publication2017
AuthorsNEUGEBAUER, JEFFREYT, SEELBACH, CHARLEYL
Secondary TitleCommunications in Applied Analysis
Volume21
Issue2
Start Page237
Pagination12
Date Published03/2017
Type of Workscientific: mathematics
ISSN1083-2564
AMS39A10
Abstract

A recent Avery et al. fixed point theorem is applied to show the existence of a positive solution of the second order difference equation

$$\Delta^{2}u\left(k\right)+f\left(u\left(k\right)\right),\quad k\in\left\{0,1,...,N\right\},$$

with boundary conditions

$$u\left(0\right)=u\left(N+2\right)=0.$$

An example is also given.
URLhttp://www.acadsol.eu/en/articles/21/2/5.pdf
DOI10.12732/caa.v21i2.5
Short TitleA Difference Equation with Dirichlet Boundary Conditions
Alternate JournalЦАА
Refereed DesignationRefereed
Full Text

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