A Qualitative Study of Solutions of Nonlinear Volterra Integral Equation in the Plane, from the Perspective of Shiba Bounded Variation

Liliana Pérez, Luz Rodríguez, Jurancy Ereú and Vladimir Mityushev

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-10

Abstract: In this article a nonlinear Volterra integral equation is studied in the space of functions of the bounded variation in the Shiba sense on the plane. A series of conditions is established for the functions and the kernel involved in this equation which guarantee the global existence and uniqueness of the solution in this space.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6673019

DOI: 10.1155/2024/6673019

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