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- W2091837355 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]{x1,x2,…,xl},−Δ(p(xi)u′(xi))=Ii(u(xi)),i=1,2,…,l,R1(u)=0,R2(u)=0, where Lu=(p(x)u′)′−q(x)u is a Sturm–Liouville operator, R1(u)=αu′(0)−βu(0), 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 property that the critical points of the energy functional are exactly the fixed points of an operator that involves the Greenʼs function. Besides, the existence of four solutions is given." @default.
- W2091837355 created "2016-06-24" @default.
- W2091837355 creator A5030555875 @default.
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- W2091837355 date "2012-03-01" @default.
- W2091837355 modified "2023-09-23" @default.
- W2091837355 title "Multiple solutions of impulsive Sturm–Liouville boundary value problem via lower and upper solutions and variational methods" @default.
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- W2091837355 doi "https://doi.org/10.1016/j.jmaa.2011.08.042" @default.
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