Abstract
This paper is devoted to the existence and variational characterization of the weak solutions of the Dirichlet boundary value problem for singular second-order ordinary differential equations and systems. The solution appears as a minimizer of the energy functional associated with the equation, and in the case of systems, as a Nash-type equilibrium of the set of energy functionals. The results are connected with the recent abstract fixed point theory due to the second author and with its application, given by the first author, to semilinear operator problems of Michlin type.
Authors
Angela Budescu
Department of Mathematics, Babeş-Bolyai University, Cluj, Romania
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
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Paper coordinates
A. Budescu, R. Precup, Variational properties of the solutions of singular second-order differential equations and systems, J. Fixed Point Theor. Appl. 18 (2016), 505-518, https://doi.org/10.1007/s11784-016-0284-1
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About this paper
Journal
Journal of Fixed Point Theory and Applications
Publisher Name
Springer
Print ISSN
16617738
Online ISSN
16617746
google scholar link
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