Open AccessExistence and uniqueness of positive solutions for a third-order three-point problem on time scales
Author(s) -
Huiye Xu
Publication year - 2010
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2010.1.56
Subject(s) - uniqueness , mathematics , order (exchange) , point (geometry) , third order , mathematical economics , mathematical analysis , geometry , economics , theology , finance , philosophy
In this paper, a class of third-order three-point boundary value problem on time scales is considered. Using monotone iterative technique and cone expansion and compression fixed point theorem of norm type, we do not only obtain the existence and uniqueness of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.
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