On the Multiplicity of Solutions of a Differential Equation Arising in Chemical Reactor Theory.

摘要

Consider the boundary value problem y double prime + 1/x y' +beta exp (- 1//y/) = 0, y'(0) = y(1) =tau where beta >or = 0,tau >or = 0. The authors are concerned with a mathematically rigorous numerical study of the number of solutions in any bounded portion of the positive quadrant (tau >or = 0,beta >or = 0) of the tau,beta plane. These correct computational results may then be matched with asymptotic (beta nears infinity,tau >or = 0) results developed earlier. (Modified author abstract)