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

Aleksandra Orpel

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.

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Cite this article as:
Aleksandra Orpel, A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems, Opuscula Math. 34, no. 4 (2014), 837-849, http://dx.doi.org/10.7494/OpMath.2014.34.4.837

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