Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624069 | Journal of Mathematical Analysis and Applications | 2006 | 10 Pages |
Abstract
This paper deals with the existence and uniqueness for the nth-order periodic boundary value problemLnu(t)=f(t,u(t)),0⩽t⩽2π,u(i)(0)=u(i)(2π),i=0,1,…,n−1, where Lnu(t)=u(n)(t)+∑i=0n−1aiu(i)(t) is an n th-order linear differential operator and f:[0,2π]×R→R is continuous. We present some spectral conditions for the nonlinearity f(t,u)f(t,u) to guarantee the existence and uniqueness. These spectral conditions are the generalization for nonresonance condition of Duffing equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yongxiang Li,