@article{0683288558574b9d836fd1349b60e651,
title = "The method of lower and upper solutions and the stability of periodic oscillations",
abstract = "The method of lower and upper solutions was used to investigate the stability of periodic oscillations. A periodic problem was considered for the purpose and the lower and upper solution functions were defined. The problem was reduced to study the stability of the equilibrium for a differential equation, having new terms corresponding to the third degree of a specific function.",
keywords = "Lower and upper solutions, Lyapunov stability, Periodic solutions, Twist condition",
author = "Daniel N{\'u}{\~n}ez",
note = "Funding Information: I wish to thank my advisor Rafael Ortega for some key ideas and useful comments about this topic. I also gratefully acknowledge the support of Consejo Nacional de Investigaciones Cient{\'ı}ficas y Tecnol{\'o}gicas (CONICIT), Venezuela and La Universidad del Zulia, Venezuela.",
year = "2002",
month = dec,
doi = "10.1016/S0362-546X(01)00888-4",
language = "English",
volume = "51",
pages = "1207--1222",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Ltd.",
number = "7",
}