Author： Dunyuan H. Shiwang M.
Publisher： Academic Press
ISSN： 0022-0396
Source： Journal of Differential Equations, Vol.133, Iss.1, 1997-01, pp. : 98-116
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Abstract
In this paper, using a generalized form of the Poincare-Birkhoff theorem and a fixed point theorem, we prove, under weaker conditions, two theorems for the equation ¨x + g ( x )= p ( t ), p ( t )= p ( t +2 pi ), of which one shows the existence of a harmonic solution, the other that the equation may have an infinite number of harmonic solutions in the resonance case. This is an enhancement of the results already obtained.
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