Research Article

Central European Journal of Mathematics

, Volume 10, Issue 3, pp 1076-1083

First online:

Continuous dependence on parameters for second order discrete BVP’s

  • Marek GalewskiAffiliated withInstitute of Mathematics, Technical University of Łódz Email author 
  • , Szymon GłąbAffiliated withInstitute of Mathematics, Technical University of Łódz

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Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.


Continuous dependence on parameters Min-Max Theorem Critical point Discrete BVP


39A10 47J30