THE ONE-DIMENSIONAL HEAT-EQUATION WITH A NONLOCAL INITIAL CONDITION

Authors
OLMSTEAD WE ROBERTS CA
Citation
We. Olmstead et Ca. Roberts, THE ONE-DIMENSIONAL HEAT-EQUATION WITH A NONLOCAL INITIAL CONDITION, Applied mathematics letters, 10(3), 1997, pp. 89-94
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
3
Year of publication
1997
Pages
89 - 94
Database
ISI
SICI code
0893-9659(1997)10:3<89:TOHWAN>2.0.ZU;2-S
Abstract
A boundary value problem for the one-dimensional heat equation is cons idered under the constraint of a nonlocal initial condition. The probl em is investigated by conversion to a Fredholm integral equation. The solution of the integral equation is derived as an eigenfunction expan sion that is valid for situations in which either uniqueness or nonuni queness applies. Circumstances under which a resonance effect occurs a re discussed and illustrated with an example.