TY - JOUR ID - Orpel2014 LB - Orpel2014 AU - Orpel, Aleksandra TI - A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems ST - A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 4 SP - 837 EP - 849 DO - http://dx.doi.org/10.7494/OpMath.2014.34.4.837 UR - http://dx.doi.org/10.7494/OpMath.2014.34.4.837 AB - 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. KW - positive solution KW - continuous dependence of solutions on functional parameters KW - Sturm-Liouville equation SN - 1232-9274 ER -