We study the optimal control problem for a weighted mean-field system. A new feature of is that coefficients depend on state process as well its measure and variable. By applying variational technique, we establish stochastic maximum principle. Also, sufficient condition optimality. As an application, investigate premium policy insurance firm asset–liability management problem.

We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between (Bts/2A(1−t)sBts/2)1/s and the t-spectral mean A♮tB:=(A−1♯B)tA(A−1♯B)t two positive semidefinite matrices A B, where A♯B is mean, dominant one. The limit involving also studied. then extend all results in context symmetric spaces negative curvature.

OBJECTIVE Repetitive transcranial magnetic stimulation (rTMS) is a safe treatment method with few side effects. However, efficacy for various psychiatric disorders is currently not clear. DATA SOURCES A literature search was performed from 1966 through October 2008 using PubMed, Ovid Medline, Embase Psychiatry, Cochrane Central Register of Controlled Trials, Cochrane Database of Systematic Re...

OBJECTIVE To compare characteristics for patients scheduled for autologous chondrocyte implantation with matrix-assisted chondrocyte implantation (MACI) with those enrolled in clinical trials and to describe differences in patient selection between countries. DESIGN Anonymized data from patients scheduled for MACI treatment in the knee in Europe and Australia/Asia were obtained from the Genzy...