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Periodic Solutions For ẋ = Ax + G(x, t) + ∊p(t)
Published online by Cambridge University Press: 20 November 2018
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We wish to establish the existence of a periodic solution to
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where x, g and p are n-vectors, A is an n × n constant matrix, and ∊ is a small scalar parameter. We assume that g and p are locally Lipschitz in x and continuous and T-periodic in t, and that the origin is a point of asymptotically stable equilibrium, when ∊ = 0.
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- Copyright © Canadian Mathematical Society 1971