Abstract
This chapter explores the stability of an infinite system of differential equations for the kinetics of polymer degradation. It discusses a few qualitative properties of the solutions of dynamical systems, described by infinite systems of differential equations. The chapter presents explicit results for a special class of such systems introduced and studied by Bellman and Oguztorelli. These systems describe the process of dissociation of the polymer molecules into smaller units. This process, like polymerization, are customarily described by finite systems of ordinary differential equations. The chapter describes the limit-case of an infinite system of such equations. The chapter presents the differential equations that describe the Oguztorelli's system.
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