Opuscula Math. 34, no. 4 (2014), 837-849
http://dx.doi.org/10.7494/OpMath.2014.34.4.837
Opuscula Mathematica
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.
Mathematics Subject Classification: 34B08, 34B15.
- Aleksandra Orpel
- Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland
- Received: 2013-11-18.
- Revised: 2014-06-30.
- Accepted: 2014-09-09.
