Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633690 | Applied Mathematics and Computation | 2009 | 6 Pages |
Abstract
In the present paper, we research the following damped vibration problem(1.1)u¨(t)+g(t)uË(t)=âF(t,u(t))a.e.tâ[0,T]u(0)-u(T)=uË(0)-uË(T)=0,where T>0, gâLâ(0,T;R), G(t)=â«0tg(s)ds, G(T)=0 and F:[0,T]ÃRNâR. The variational principle is given, and three existence theorems for periodic solutions are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xian Wu, Jilin Chen,