Suppose that is a Banach space and is aninjective operator in , the space of all bounded linearoperators on . In this note, a two-parameter -semigroup (regularized semigroup) of operators is introduced, and some of its properties are discussed. As an application we show that the existence and uniqueness of solution of the 2-abstract Cauchy problem , , , is closely related to the two-parameter -semigroups of operators.
"On Two-Parameter Regularized Semigroups and the Cauchy Problem." Abstr. Appl. Anal. 2009 1 - 15, 2009. https://doi.org/10.1155/2009/415847