A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems

Abstract

We deal with the existence and the continuous dependence of solutions on functional parameters for boundary valued problems containing Sturm-Liouville equation. We apply these result to prove the existence of at least one solution for a certain class of optimal control problems.

Keywords

• positive solution
• continuous dependence of solutions on functional parameters
• Sturm-Liouville equation