IMA Journal of Numerical Analysis · 1991 · 89 citations · 0 references
Natural SciencesMathematicsDifferential EquationsIntegral EquationsNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsPartial Differential EquationsHammerstein Integral EquationsIll-posed Integral EquationsNonlinear Integral EquationsNumerical Methods For Integral EquationsUniqueness For Integral Equations
We consider a mixed Hammerstein integral equation of the form where −∞<a<b<∞, y, fi and ki, (1≤i≤m) are known functions and x is a solution to be determined. In this paper, we obtain existence, uniqueness, and numerical solvability of (I) under certain smoothness assumptions on the known functions y, fi and ki.