On existence theorems for semilinear equations and applications
Tom 107 / 2013
Annales Polonici Mathematici 107 (2013), 123-131
MSC: 34B18, 47H11.
DOI: 10.4064/ap107-2-2
Streszczenie
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order $m$-point boundary value problem at resonance is considered.