Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841028 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 14 Pages |
Abstract
In this paper, we prove the existence of multiple solutions for second order Sturm–Liouville boundary value problem {−Lu=f(x,u),x∈[0,1]R1(u)=0,R2(u)=0, where Lu=(p(x)u′)′−q(x)uLu=(p(x)u′)′−q(x)u is a Sturm–Liouville operator, R1(u)=αu′(0)−βu(0)R1(u)=αu′(0)−βu(0), R2(u)=γu′(1)+σu(1)R2(u)=γu′(1)+σu(1). The technical approach is fully based on lower and upper solutions and variational methods. The interesting point is that the existence of four solutions and seven solutions is given.
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Authors
Yu Tian, Weigao Ge,