Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620761 | Journal of Mathematical Analysis and Applications | 2009 | 9 Pages |
Abstract
This paper deals with the existence and uniqueness for the periodic boundary value problem of the semilinear evolution equation in a Hilbert space H{uâ²(t)+Au(t)=f(t,u(t)),00 and f:[0,Ï]ÃHâH satisfy Caratheodory condition. We present some spectral conditions for the nonlinearity f(t,u) to guarantee the existence and uniqueness. These spectral conditions are the generalization for nonresonance condition of the self-adjoint elliptic boundary value problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yongxiang Li,