Bounded solutions of some second order nonlinear differential equations

Mawhin, Jean;Ward, JR.
(1998) Journal of the London mathematical society — Vol. 58, p. 733-747 (1998)

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  • Mawhin, JeanUCLouvain
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  • Ward, JR.
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Abstract
We prove Landesman-Lazer type existence conditions for the solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equations of the form x " + cx' + f(t, x) = 0. The proofs use upper and lower solutions techniques together with some limiting arguments.
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Mawhin, J., & Ward, JR. (1998). Bounded solutions of some second order nonlinear differential equations. Journal of the London mathematical society, 58, 733-747. https://hdl.handle.net/2078.5/140656 (Original work published 1998)