Abstract
AbstractAs a consequence of the main result of this paper efficient conditions guaranteeing the existence of a T −periodic solution to the second-order differential equation
$${u}^{\prime \prime} = \displaystyle{{h(t)} \over {u^\lambda }}$$are established. Here, h ∈ L(ℝ/Tℤ) is a piecewise-constant sign-changing function and the non-linear term presents a weak singularity at 0 (i.e. λ ∈ (0, 1)).
Publisher
Cambridge University Press (CUP)
Reference16 articles.
1. A Counterexample for Singular Equations with Indefinite Weight
2. Periodic solutions of an indefinite singular equation arising from the Kepler's problem on the sphere;Hakl;Canadian J. Math.
3. CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
4. A. Boscaggin , G. Feltrin and F. Zanolin . Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case, preprint.
5. Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献