Periodic solutions for a second-order differential equation with indefinite weak singularity

Author:

Godoy José,Zamora Manuel

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, hL(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)

Subject

General Mathematics

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