In this paper we provide conditions to ensure the existence, for epsilon > 0 sufficiently small, of periodic solutions of given period T > 0 for a class of singularly perturbed first order differential systems. Here epsilon > 0 is the perturbation parameter. Our approach, based on the topological degree theory and the averaging theory, permits to weaken the conditions in ([5], Theorem 2) under which the existence of periodic solutions is proved.
M., K., O., M., Nistri, P. (2004). Periodic solutions for a class of singularly perturbed systems. DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES A: MATHEMATICAL ANALYSIS, 11(1), 41-55.
Periodic solutions for a class of singularly perturbed systems
NISTRI, PAOLO
2004-01-01
Abstract
In this paper we provide conditions to ensure the existence, for epsilon > 0 sufficiently small, of periodic solutions of given period T > 0 for a class of singularly perturbed first order differential systems. Here epsilon > 0 is the perturbation parameter. Our approach, based on the topological degree theory and the averaging theory, permits to weaken the conditions in ([5], Theorem 2) under which the existence of periodic solutions is proved.
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https://hdl.handle.net/11365/7050
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