Journal of Inequalities and Applications (Mar 2023)

Some weakly singular Volterra integral inequalities with maxima in two variables

  • Yining Sun,
  • Run Xu

DOI
https://doi.org/10.1186/s13660-023-02939-9
Journal volume & issue
Vol. 2023, no. 1
pp. 1 – 18

Abstract

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Abstract In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables. We also use the results to research the boundedness of solutions to retarded nonlinear Volterra type integral equations.

Keywords