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Nonlinear dynamics of differential equations with attractive–repulsive singularities and small time‐dependent coefficients
Author(s) -
Liu Qihuai,
Qian Dingbian
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2594
Subject(s) - gravitational singularity , mathematics , nonlinear system , mathematical analysis , differential equation , dynamics (music) , function (biology) , physics , quantum mechanics , evolutionary biology , acoustics , biology
Motivated by some physical models with small parameters, in this paper, we proved the existence of periodic solutions (almost periodic solutions) for two classes of differential equations with attractive–repulsive singularities and small time‐dependent coefficients by the averaging method and the implicit function theorem. Copyright © 2012 John Wiley & Sons, Ltd.