Abstract
We extend some previous results on the maximum number of isolated periodic solutions of generalized Abel equation and rigid systems. The key hypothesis is a monotonicity assumption on any stability operator (for instance, the divergence) along the solutions of a suitable transversal system. In such a case, at most two isolated periodic solutions exist. Under a simple additional assumption, we also prove a uniqueness result for limit cycles of rigid systems. Our results are easily applicable to special classes of equations, since the hypotheses hold when a suitable convexity property is satisfied.
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