Open AccessAn application of the antimaximum principle for a fourth order periodic problem
Author(s) -
Pablo Amster,
Pablo De Nápoli
Publication year - 2006
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.2006.1.3
Subject(s) - mathematics , order (exchange) , calculus (dental) , mathematical economics , mathematical analysis , business , medicine , dentistry , finance
We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaxi- mum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution.
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