Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614117 | Journal of Mathematical Analysis and Applications | 2016 | 15 Pages |
Abstract
The constrained Dirichlet boundary value problem x¨=f(t,x), x(0)=x(T)x(0)=x(T), is studied in billiard spaces, where impacts occur in boundary points. Therefore we develop the research on impulsive Dirichlet problems with state-dependent impulses. Inspiring simple examples lead to an approach enabling to obtain both the existence and multiplicity results in one dimensional billiards. Several observations concerning the multidimensional case are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Grzegorz Gabor,