Hilbert空间中(a,k)-正则预解算子族的一致稳定性

Uniform stability of(a,k)-regularized resolvent operator family in Hilbert space

运用Hilbert空间理论、预解理论以及复分析方法,研究(a,k)-正则预解算子族的稳定性,给出了一致稳定性新的充分条件,推广了强连续半群和预解算子族的相关结论.

By using the theory of Hilbert spaces and the theory of resolvent as well as the method of complex analysis, the stability of （a, k） regularized resolvent operator family is investigated, and new sufficient conditions for the uniform stability are given, which generalize the results for strong ly continuous semigroups and resolvent operators.