Continuous dependence on parameters for second order discrete BVP’s

Marek Galewski; Szymon Głąb

Open Mathematics (2012)

  • Volume: 10, Issue: 3, page 1076-1083
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Marek Galewski, and Szymon Głąb. "Continuous dependence on parameters for second order discrete BVP’s." Open Mathematics 10.3 (2012): 1076-1083. <http://eudml.org/doc/269013>.

@article{MarekGalewski2012,
abstract = {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.},
author = {Marek Galewski, Szymon Głąb},
journal = {Open Mathematics},
keywords = {Continuous dependence on parameters; Min-Max Theorem; Critical point; Discrete BVP; continuous dependence on parameters; min-max theorem; critical point; second order discrete boundary value problem; variational methods; saddle points; Euler action functional},
language = {eng},
number = {3},
pages = {1076-1083},
title = {Continuous dependence on parameters for second order discrete BVP’s},
url = {http://eudml.org/doc/269013},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Marek Galewski
AU - Szymon Głąb
TI - Continuous dependence on parameters for second order discrete BVP’s
JO - Open Mathematics
PY - 2012
VL - 10
IS - 3
SP - 1076
EP - 1083
AB - 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.
LA - eng
KW - Continuous dependence on parameters; Min-Max Theorem; Critical point; Discrete BVP; continuous dependence on parameters; min-max theorem; critical point; second order discrete boundary value problem; variational methods; saddle points; Euler action functional
UR - http://eudml.org/doc/269013
ER -

References

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  10. [10] Nirenberg L., Topics in Nonlinear Functional Analysis, Courant Lect. Notes Math., 6, American Mathematical Society, Providence, 2001 Zbl0992.47023
  11. [11] Tian Y., Du Z., Ge W., Existence results for discrete Sturm-Liouville problem via variational methods, J. Difference Equ. Appl., 2007, 13(6), 467–478 http://dx.doi.org/10.1080/10236190601086451 Zbl1129.39007
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