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Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations
Author(s) -
Xiumei Xing
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/310469
Subject(s) - mathematics , mathematical analysis , nonlinear system , order (exchange) , differential equation , truncation (statistics) , singular solution , statistics , physics , finance , quantum mechanics , economics
We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder. Truncation plays an important role in the analysis of the uniform positive lower bound for all the solutions of the equation. Recent results in the literature (Chu et al., 2010) are generalized

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