Opuscula Math. 34, no. 4 (2014), 837-849
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.
About the authors ▼
Aleksandra Orpel
Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland
About the article ▼
Received: 2013-11-18.
Revised: 2014-06-30.
Accepted: 2014-09-09.
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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