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Equivalence theorems for incomplete spaces: An appraisal. (English) Zbl 0559.65033
The authors apply some of the equivalence theorems which have been derived for nonlinear problems to linear ones and compare their respective ranges. In addition, there are some slight extensions of known results.
Reviewer: G.Merz

MSC:
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65L05 Numerical methods for initial value problems
34G10 Linear differential equations in abstract spaces
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