This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability ...This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability of their infinitesimal generators w.r.t.parameters imply the differentiability of the C 0 semigroups.The results are applied to the differentiability of the solution of a linear delay differential equation w.r.t.its delays.展开更多
As well known, a normal orthogroup is a strong semilattice of rectangular groups. In this paper, we consider the homomorphisms between normal orthogroups and endomorphisms of themselves, relating them to the homomorph...As well known, a normal orthogroup is a strong semilattice of rectangular groups. In this paper, we consider the homomorphisms between normal orthogroups and endomorphisms of themselves, relating them to the homomorphisms and endomorphisms of the underlying rect-angular groups with their compositions.展开更多
GV-semigroups are the generalizations of completely regular semigroups in the range of π-regular semigroups. In this paper, Green-relations on GV-semigroups and some congruences on it are studied.
This paper gives a unified approach to Hsu's two classes of extended GSN pairs in the setting of Hsu-Riordan partial monoid which is a generalization of Shapiro's Riordan group, and moreover Hsu-Wang transfer ...This paper gives a unified approach to Hsu's two classes of extended GSN pairs in the setting of Hsu-Riordan partial monoid which is a generalization of Shapiro's Riordan group, and moreover Hsu-Wang transfer theorem, Drown-Sprugnoli transfer formula and generalized Brown transfer lemma which display some transfer methods of different kinds of Hsu-Riordau arrays and identities respectively.展开更多
文摘This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability of their infinitesimal generators w.r.t.parameters imply the differentiability of the C 0 semigroups.The results are applied to the differentiability of the solution of a linear delay differential equation w.r.t.its delays.
基金Supported by General Scientific Research Project of Shanghai Nor mal University (No.SK200707)Shanghai Shuguang Project (No.07SG38)
文摘As well known, a normal orthogroup is a strong semilattice of rectangular groups. In this paper, we consider the homomorphisms between normal orthogroups and endomorphisms of themselves, relating them to the homomorphisms and endomorphisms of the underlying rect-angular groups with their compositions.
基金Supported by the Doctorial Foundation of Shanghai Normal University(PL529)
文摘GV-semigroups are the generalizations of completely regular semigroups in the range of π-regular semigroups. In this paper, Green-relations on GV-semigroups and some congruences on it are studied.
文摘This paper gives a unified approach to Hsu's two classes of extended GSN pairs in the setting of Hsu-Riordan partial monoid which is a generalization of Shapiro's Riordan group, and moreover Hsu-Wang transfer theorem, Drown-Sprugnoli transfer formula and generalized Brown transfer lemma which display some transfer methods of different kinds of Hsu-Riordau arrays and identities respectively.
