A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, II Original Research Article

In an earlier article we showed how to construct sieves of dimension κ > 1 under the assumption that there exists a pair of functions F and ƒ (the upper and lower sieve estimation functions) which satisfy coupled differential delay equations with appropriate boundary conditions. Here we establish the existence of F and ƒ for all κ ≥ 2 and for κ = image.