Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities

J. Llibre; B. D. Lopes; J. R. De Moraes

doi:10.1142/S0218127420501588

Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities

J. Llibre^*, B. D. Lopes, J. R. De Moraes

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

2 Citas (Scopus)

Resumen

We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.

Idioma original	Inglés
Número de artículo	2050158
Publicación	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volumen	30
N.º	11
DOI	https://doi.org/10.1142/S0218127420501588
Estado	Publicada - 15 sept 2020

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title = "Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities",

abstract = "We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.",

keywords = "Periodic solution, averaging method, piecewise differential equation, third-order differential equation",

author = "J. Llibre and Lopes, \{B. D.\} and \{De Moraes\}, \{J. R.\}",

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Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities. / Llibre, J.; Lopes, B. D.; De Moraes, J. R.
En: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 30, N.º 11, 2050158, 15.09.2020.

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

TY - JOUR

T1 - Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities

AU - Llibre, J.

AU - Lopes, B. D.

AU - De Moraes, J. R.

PY - 2020/9/15

Y1 - 2020/9/15

N2 - We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.

AB - We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.

KW - Periodic solution

KW - averaging method

KW - piecewise differential equation

KW - third-order differential equation

UR - https://www.scopus.com/pages/publications/85092068860

U2 - 10.1142/S0218127420501588

DO - 10.1142/S0218127420501588

M3 - Article

AN - SCOPUS:85092068860

SN - 0218-1274

VL - 30

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 11

M1 - 2050158

ER -

Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities

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