Journal of Advances in Applied Mathematics

Download PDF (213.7 KB) PP. 1 - 14 Pub. Date: January 15, 2021

DOI: 10.22606/jaam.2021.61001

• Rodrigue SANOU
  Laboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences Exactes et Appliquées, Université Joseph-Ki-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina-Faso
• Idrissa IBRANGO
  Laboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences et Technique, Université Nazi BONI, 01 BP 1091 Bobo 01, Bobo Dioulasso, Burkina-Faso
• Blaise KONÉ^*
  Laboratoire de Mathématiques et Informatique (LAMI), Institut Burkinabé des Arts et Métiers, Université Joseph-Ki-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina-Faso

We prove the existence of at least one weak nontrivial solutions for a discrete nonlinear two-point boundary-value problems of Kirchhoff type. The main existence results are obtained by using the technique of geometric mountain pass and the Ekelands variational principle.

discrete boundary value problem, critical point, weak solution, mountain pass geometry lemma, Palais-Smale condition

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