A variational approach to the eigenvalue problem for higher order BVPs with singular nonlinearities
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摘要
We present a variational approach to the eigenvalue problem for higher order equations with multipoint boundary conditions. Our approach covers the problems in which the nonlinearity may be singular at t=0 or t=1. The results can be applied for both sublinear and superlinear cases. We also describe the numerical characterization of positive solutions.
论文关键词:Singular problem,Positive solutions,Multipoint boundary conditions,Variational methods,Numerical characterization of solutions
论文评审过程:Available online 28 April 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2012.03.066