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This article presents a classification scheme for eventually-positive solutions of second-order nonlinear iterative differential equations, in terms of their asymptotic magnitudes. Necessary and sufficient conditions for the existence of solutions are also provided.

- Yukun An, Xianling Fan
- Applied Mathematics and Computation
- 2003

- Xianling Fan
- 2017

We obtain a Viterbo-Hofer-Zehnder type result for Hamiltonian inclusions. Let H : : IR2N -~ IR be a locally Lipschitz function and c E IR. Suppose that E := {aE IR2~ ~ ~(a-) = c} is a nonempty compact subset of IR2N and 0 ~ ~H(x) for x E E. Then for any 03B4 > 0 the Hamiltonian inclusion x E has a conservative periodic solution x(t) such that H (~(t)~ = c’… (More)

- Xianling Fan
- Appl. Math. Lett.
- 2009

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