On Solutions of Nonlinear Integral Equations in the Space of Functions of Shiba-Bounded Variation

Authors

Jurancy Ereu ́, Departamento de Matema ́ticas. Universidad Centroccidental Lisandro Alvarado. Barquisimeto, Estado Lara, VenezuelaFollow
Jose ́ Gime ́nez, Departamento de Matema ́ticas. Universidad de los Andes. Me ́rida, Estado Me ́rida, VenezuelaFollow
Liliana Pe ́rez, Escuela Superior Polite ́cnica del Litoral. ESPOL, FCNM, Campus Gustavo Galindo Km 30.5 V ́ıa Perimetral, P.O. Box 09-01-5863, Guayaquil, EcuadorFollow

Author Country (or Countries)

Ecuador

Abstract

In this paper we discuss the existence and uniqueness of solutions of the nonlinear Hammerstein integral equation, Volterra– Hammerstein integral equation and Volterra integral equation in the space of functions of bounded variation in the sense of Shiba, (ΛpBV).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140305

Recommended Citation

Ereu ́, Jurancy; ́ Gime ́nez, Jose; and Pe ́rez, Liliana (2020) "On Solutions of Nonlinear Integral Equations in the Space of Functions of Shiba-Bounded Variation," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/amis/140305
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/5