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

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  • Liliana Pérez
  • Luz Rodríguez
  • Jurancy Ereú
  • Vladimir Mityushev

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.

Suggested Citation

  • Liliana Pérez & Luz Rodríguez & Jurancy Ereú & Vladimir Mityushev, 2024. "A Qualitative Study of Solutions of Nonlinear Volterra Integral Equation in the Plane, from the Perspective of Shiba Bounded Variation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-10, August.
    • Handle: RePEc:hin:jijmms:6673019
    DOI: 10.1155/2024/6673019
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