Nonlinear equations of Hammerstein-Volterra type in the space of functions of bounded k-variation in the sense of Korenblum.

  • P´erez Rebeca Liliana Escuela Superior Politécnica del Litoral (ESPOL)
  • Ere´u Josefina Jurancy Universidad Centroccidental Lisandro Alvarado. Barquisimeto, Estado Lara, VENEZUELA
  • Guti´errez Ronald Universidad Centroccidental Lisandro Alvarado. Barquisimeto, Estado Lara, VENEZUELA

Abstract

In this paper we study some nonlinear integral equations and give conditions for the functions and kernel involved in such equations under which we assure the existence, uniqueness, and continuity of solutions in the space of functions of bounded $\kappa$-variation in the sense of Korenblum, $(\kappa BV\left([a,b]\right))$.

Author Biographies

Ere´u Josefina Jurancy, Universidad Centroccidental Lisandro Alvarado. Barquisimeto, Estado Lara, VENEZUELA

Decanato de ciencia y tecnologia, departamento de matemática. 

Guti´errez Ronald, Universidad Centroccidental Lisandro Alvarado. Barquisimeto, Estado Lara, VENEZUELA

Decanato de ciencia y tecnologia (UCLA), departamento de matemática

Published
2021-11-23