Open AccessExistence and uniqueness on periodic solutions of fourth-order nonlinear differential equations
Author(s) -
Ani Jiang,
Jianying Shao
Publication year - 2012
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.2012.1.69
Subject(s) - uniqueness , mathematics , nonlinear system , order (exchange) , differential equation , mathematical analysis , economics , physics , finance , quantum mechanics
In this paper, we study the problem of periodic solutions for fourth-order nonlinear differential equations. Under proper conditions, we employ a novel proof to establish some criteria to ensure the existence and uniqueness of T -periodic solutions. Moreover, we give two examples to illustrate the effectiveness of our main results.
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