The method of lower and upper solutions and the stability of periodic oscillations

Daniel Núñez

doi:10.1016/S0362-546X(01)00888-4

The method of lower and upper solutions and the stability of periodic oscillations

Daniel Núñez

University of Granada

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Pages (from-to)	1207-1222
Number of pages	16
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	51
Issue number	7
DOIs	https://doi.org/10.1016/S0362-546X(01)00888-4
State	Published - Dec 2002
Externally published	Yes

Keywords

Lower and upper solutions
Lyapunov stability
Periodic solutions
Twist condition

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10.1016/S0362-546X(01)00888-4

Cite this

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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.",

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AU - Núñez, Daniel

N1 - 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 Cientı́ficas y Tecnológicas (CONICIT), Venezuela and La Universidad del Zulia, Venezuela.

PY - 2002/12

Y1 - 2002/12

N2 - 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.

AB - 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.

KW - Lower and upper solutions

KW - Lyapunov stability

KW - Periodic solutions

KW - Twist condition

UR - https://www.scopus.com/pages/publications/0036885507

U2 - 10.1016/S0362-546X(01)00888-4

DO - 10.1016/S0362-546X(01)00888-4

M3 - Article

AN - SCOPUS:0036885507

SN - 0362-546X

VL - 51

SP - 1207

EP - 1222

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7

ER -

The method of lower and upper solutions and the stability of periodic oscillations

Abstract

Keywords

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