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Dependence on parameters for discrete second-order boundary value problems |
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| Authors: | Marek Galewski |
| Institution: | 1. Institute of Mathematics , Technical University of Lodz , Wolczanska 215, 90-924, Lodz, Poland marek.galewski@p.lodz.pl |
| Abstract: | We investigate the dependence on parameters for second-order difference equations with two-point boundary value conditions using a variational method in case when the corresponding Euler action functional is coercive. Some applications for discrete Emden–Fowler equation are also given. |
| Keywords: | variational method second-order discrete equation coercivity dependence on parameters positive solution discrete Emden–Fowler equation |