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 -
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) - sturm–liouville theory , class (philosophy) , nonlinear system , mathematics , boundary value problem , boundary (topology) , mathematical analysis , control (management) , computer science , physics , quantum mechanics , artificial intelligence
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
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