Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
Tom 102 / 2011
Annales Polonici Mathematici 102 (2011), 25-37
MSC: 34B16, 34B18, 34B15.
DOI: 10.4064/ap102-1-3
Streszczenie
This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo–Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.
