In this paper we are concerned with a damped Hill equation on a time interval (a,b), where −∞⩽a<b⩽+∞, a weight function q with infinitely many zeros in (a,b), and a super-linear term g. We prove the existence of solutions with prescribed nodal properties in the intervals of negativity and positivity of q. When the dumping term is 0 and q is periodic we show that the equation under consideration exhibits chaotic-like dynamics.
Capietto, A., Dambrosio, W., Papini, D. (2002). Superlinear indefinite equations on the real line and chaotic dynamics. JOURNAL OF DIFFERENTIAL EQUATIONS, 181, 419-438 [10.1006/jdeq.2001.4080].
Superlinear indefinite equations on the real line and chaotic dynamics
PAPINI, DUCCIO
2002-01-01
Abstract
In this paper we are concerned with a damped Hill equation on a time interval (a,b), where −∞⩽aFile | Dimensione | Formato | |
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https://hdl.handle.net/11365/20708
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