Abstract:
The existence and uniqueness of a solution to the Cauchy problem for a new aggregation–fragmentation model in the case of equal reaction rate constants are proved. The eigenstates of the right-hand side operator that correspond to real eigenvalues are studied, and an evolution operator is constructed.
Key words:aggregation–fragmentation process, kinetic equations, infinite-dimensional systems of ODEs, linear operator, evolution operator, Cauchy problem.
