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

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Résumé

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

Mots-clés

Growth, boundedness, comparison of solutions to difference equations