Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617471 | Journal of Mathematical Analysis and Applications | 2012 | 12 Pages |
Abstract
This paper is concerned with the periodic boundary value problemequation(1){u′(t)=−Λu(t+r)−f(t,u(t−r)),u(0)=−u(2r),u(0)=u(4r) where r>0r>0 is a given constant, −π2r<Λ<3π2r is a parameter, and f∈C(R1×Rn,Rn)f∈C(R1×Rn,Rn) satisfies f(t+r,z)=f(t,z)f(t+r,z)=f(t,z) for all z∈Rnz∈Rn. The variational principle is given and some multiplicity results of periodic solutions of (1) are obtained via variational methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ke Wu, Xian Wu,