| Title | Positive periodic solutions of second order nonlinear equations with indefinite weight: Multiplicity results and complex dynamics |
| Publication Type | Journal Article |
| Year of Publication | 2012 |
| Authors | Boscaggin, A, Zanolin, F |
| Journal | Journal of Differential Equations |
| Volume | 252 |
| Pagination | 2922 - 2950 |
| ISSN | 0022-0396 |
| Keywords | Complex dynamics; Poincaré map; Positive periodic solutions; Subharmonics |
| Abstract | We prove the existence of a pair of positive T-periodic solutions as well as the existence of positive subharmonic solutions of any order and the presence of chaotic-like dynamics for the scalar second order ODEu″+aλ,μ(t)g(u)=0, where g(x) is a positive function on R+, superlinear at zero and sublinear at infinity, and aλ,μ(t) is a T-periodic and sign indefinite weight of the form λa+(t)−μa−(t), with λ,μ>0 and large. |
| URL | http://www.sciencedirect.com/science/article/pii/S0022039611003883 |
| DOI | 10.1016/j.jde.2011.09.010 |
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