Some generalizations coming from the study of the discrete nagumo equation

The discrete Nagumo equation corresponds to: u ̇_n=d(u_(n-1)-2u_n+u_(n+1) )+f(u_n ), n ∈ Z and in this work we obtain results concerning the following generalization: u ̇_n=d(〖au〗_(n-1)+bu_n+〖cu〗_(n+1) )+f(u_n ), n ∈ Z With a, b and c being parameters such that a + b + c = 0 with a ≥ c ≥ 0. We have obtained results that generalize part of the work developed by Bertram Zinner [1] and these constitute a starting point for later obtaining what would be the existence of solutions of the traveling wave type in the equation that we consider.

• Autor principal: Ayala Bolagay, María José (author)
• Formato: bachelorThesis
• Lenguaje: eng
• Publicado: 2021
• Materias: Ecuación discreta de Nagumo; Solución de onda viajera; Teorema de Banach de punto fijo; Teorema de Schauder de punto fijo; Discrete Nagumo’s equation; Traveling wave solution; Banach Fixed Point Theorem; Schauder Fixed Point Theorem
• Acceso en línea: http://repositorio.yachaytech.edu.ec/handle/123456789/441