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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodic solutions for a class of ordinary differential equations


Author: James R. Ward
Journal: Proc. Amer. Math. Soc. 78 (1980), 350-352
MSC: Primary 34C25
MathSciNet review: 553374
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Abstract: A T-periodic solution to the differential equation $ x'' + cx' + g(x) = f(t) \equiv f(t + T)$ is shown to exist whenever a simple condition on g holds, provided $ c \ne 0$. No assumption is made concerning the growth of g. The condition on g is necessary if g is either an increasing or a decreasing function.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0553374-2
PII: S 0002-9939(1980)0553374-2
Keywords: Nonlinear ordinary differential equations, periodic solutions
Article copyright: © Copyright 1980 American Mathematical Society