Article ID Journal Published Year Pages File Type
4624069 Journal of Mathematical Analysis and Applications 2006 10 Pages PDF
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
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