Systems of singular BVPs — existence of solutions and their properties
Volume 101 / 2014
Banach Center Publications 101 (2014), 133-143
MSC: Primary 35J65, 34B15; Secondary 49J40, 49J60.
DOI: 10.4064/bc101-0-11
Abstract
We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.