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.
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
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 -