Abstract and Applied Analysis · 2010 · 17 citations · 7 references
Natural SciencesMathematicsDifferential EquationsIntegral EquationsNumerical AlgorithmsNumerical IntegrationNumerical Methods For Differential EquationsSystems Of Differential EquationsNonlinear Integral EquationsNumerical Methods For Integral EquationsVolterra EquationsVolterra Integral EquationsVolterra Theory
We obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.
7