Open AccessA note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems
Author(s) -
Aleksandra Orpel
Publication year - 2014
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2014.34.4.837
Subject(s) - mathematics , nonlinear system , sturm–liouville theory , mathematical analysis , pure mathematics , boundary value problem , physics , quantum mechanics
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