On a Nonlinear Volterra Integral Equation in Two Variables
DOI:
https://doi.org/10.5644/SJM.06.1.05Keywords:
Volterra integral equation, two variables, Banach fixed point theorem, integral inequality, explicit estimate, Bielecki type norm, existence and uniqueness, approximate solution, discrete analoguesAbstract
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra integral equation in two variables. The fundamental tools employed in the analysis are based on applications of the Banach fixed point theorem and a certain variant of the integral inequality with explicit estimate on the unknown function.
2000 Mathematics Subject Classification. 34K10, 35R10, 39A10
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References
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