Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614540 | Journal of Mathematical Analysis and Applications | 2016 | 18 Pages |
Abstract
In this paper we prove the existence of infinitely many non-singular subharmonic solutions, as well as the presence of complex dynamics, for the equation with singularityu¨+g1uβ−g2uγ=h0(t)uδ, where h0(t)h0(t) is a T-periodic stepwise function. Our result is stable with respect to small perturbations and can be applied to the Rayleigh–Plesset equation governing the dynamics of a bubble immersed in an infinite domain of liquid.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lakshmi Burra, Fabio Zanolin,