A variational approach to the eigenvalue problem for higher order BVPs with singular nonlinearities

作者：O'Regan Donal; Orpel Aleksandra^*

来源：Applied Mathematics and Computation, 2012, 218(20): 10063-10071.

DOI：10.1016/j.amc.2012.03.066

• Singular problem
• Positive solutions
• Multipoint boundary conditions
• Variational methods
• Numerical characterization of solutions

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 non-linearity 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.

• 出版日期2012-6-15