Guiding-like functions for periodic or bounded solutions of ordinary differential equations

Mawhin, Jean;Ward, JR.
(2002) Discrete and Continuous Dynamical Systems — Vol. 8, n° 1, p. 39-54 (2002)

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  • Mawhin, JeanUCLouvain
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  • Ward, JR.
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Abstract
We state and prove some extensions of the fundamental theorem of the method of guiding functions for periodic and for bounded solutions of ordinary differential systems. Those results unify and generalize previous results of Krasnosel'skii, Perov, Mawhin, Walter and Gossez.
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Mawhin, J., & Ward, JR. (2002). Guiding-like functions for periodic or bounded solutions of ordinary differential equations. Discrete and Continuous Dynamical Systems, 8(1), 39-54. https://hdl.handle.net/2078.5/138356 (Original work published 2002)