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• Similars in SciELO

## On-line version ISSN 0719-0646

### Cubo vol.19 no.3 Temuco Dec. 2017

#### http://dx.doi.org/10.4067/S0719-06462017000300043

Articles

Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents

1Laboratoire de Mathématiques et Informatique (LAMI) UFR. Sciences et Techniques, Universit Nazi BONI 01 BP 1091 Bobo-Dioulasso, 01 Bobo Dioulasso, Burkina Faso. E-mail: abouguiro@yahoo.fr

2Laboratoire de Mathématiques et Informatique (LAMI) UFR. Sciences et Techniques, Universit Nazi BONI 01 BP 1091 Bobo-Dioulasso, 01 Bobo Dioulasso, Burkina Faso. E-mail: ibrango2006@yahoo.fr

3Laboratoire de Mathématiques et Informatique (LAMI) UFR. Sciences Exactes et Appliquées Université de Ouagadougou, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina Faso. E-mail: ouaro@yahoo.fr

Abstract

In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions for more general data depending on the solutions.

Resumen

En este artículo, probamos la existencia de soluciones homoclínicas débiles para problemas discretos no-lineales de tipo Kirchhoff. La demostración del resultado principal está basado en un método de minimización. Como extensión, probamos la existencia de soluciones homoclínicas débiles para datos más generales dependiendo de las soluciones.

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