Variational Properties of the Solutions for Second-Order Differential Equations and Systems on Semi-Line |
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| Authors: | Adela Novac |
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| Institution: | Department of Mathematics , Technical University of Cluj-Napoca , Cluj-Napoca , Romania |
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| Abstract: | In this article, an abstract theory regarding variational properties of the fixed points of contractions and Perov contractions is applied to boundary value problems on semi-line for second-order differential equations and systems. The main result states that under suitable conditions the unique solution of such a system is a Nash-type equilibrium of the corresponding energy functionals. |
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| Keywords: | Boundary value problems on infinite intervals Critical point Fixed point Nash-type equilibrium |
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