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Multiple positive solutions to boundary value problems
Abstract
Conditions are given for the existence of three positive solutions to the discrete second order conjugate boundary value problem (BVP), the discrete (n-1,1) focal BVP, the continuous (n-1,1) focal BVP, and the discrete (n-2,2) focal BVP applying the Leggett-Williams Fixed Point Theorem. Existence of three positive solutions to the above discrete BVP's applying other fixed point theorems is included. The last chapter is devoted to giving conditions for a summation equation, which could be used to model infectious diseases, to have a nontrivial periodic solution.
Subject Area
Mathematics
Recommended Citation
Avery, Richard Irvin, "Multiple positive solutions to boundary value problems" (1997). ETD collection for University of Nebraska-Lincoln. AAI9805495.
https://digitalcommons.unl.edu/dissertations/AAI9805495