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Infinite Interval Problems Modeling Phenomena Which Arise in the Theory of Plasma and Electrical Potential Theory
Author(s) -
Agarwal R. P.,
O'Regan D.
Publication year - 2003
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.t01-1-00237
Subject(s) - plasma , interval (graph theory) , boundary value problem , mathematics , physics , electric potential , mathematical analysis , quantum mechanics , combinatorics , voltage
An upper and lower solution approach is presented for boundary value problems on the infinite interval. In particular, our theory includes a discussion of a problem which arises in the study of plasma physics, and a problem which arises in determining the electrical potential in an isolated neutral atom.