Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Periodic solutions of the second order differential equations
with Lipschitzian condition


Author: Zaihong Wang
Journal: Proc. Amer. Math. Soc. 126 (1998), 2267-2276
MSC (1991): Primary 34C25; Secondary 34B15
DOI: https://doi.org/10.1090/S0002-9939-98-04772-8
MathSciNet review: 1487345
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we prove an infinity of periodic solutions to the periodically forced nonlinear Duffing equation $\ddot {x}+g(x)=p(t)$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34C25, 34B15

Retrieve articles in all journals with MSC (1991): 34C25, 34B15


Additional Information

Zaihong Wang
Affiliation: Department of Mathematics, Capital Normal University, Beijing 100037, China

DOI: https://doi.org/10.1090/S0002-9939-98-04772-8
Keywords: Periodic solution, Poincar\'{e}-Birkhoff twist theorem
Received by editor(s): December 10, 1996
Additional Notes: This project was supported by NSF of China.
Communicated by: Hal L. Smith
Article copyright: © Copyright 1998 American Mathematical Society