Periodic solutions of equations with oscillating nonlinearities

Krasnosel'skii, AM;Mawhin, Jean
(2000) Mathematical and Computer Modelling — Vol. 32, n° 11-13, p. 1445-1455 (2000)

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Authors
  • Krasnosel'skii, AM
    Author
  • Mawhin, JeanUCLouvain
    Author
Abstract
In this paper, we consider the 2 pi -periodic problem for the equation x " + n(2)x = f(s) - b(t), where n is a positive integer, b(t) is continuous and 2 pi -periodic, and f(s) is bounded and continuous. We give a new formulation for the Lazer-Leach conditions for the existence of 2 pi -periodic solutions, and new sufficient conditions for the existence of unbounded sequences of such solutions. (C) 2000 Elsevier Science Ltd. All rights reserved.
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Krasnosel’skii, A., & Mawhin, J. (2000). Periodic solutions of equations with oscillating nonlinearities. Mathematical and Computer Modelling, 32(11-13), 1445-1455. https://doi.org/10.1016/S0895-7177(00)00216-8 (Original work published 2000)