In this survey we recall the results obtained in [16] where we gave a representation theorem for the solutions of stochastic di¤erential equations in Hilbert spaces. Using this representation theorem and the deterministic characterizations of exponential stability and uniform observability obtained in [16], [17], we will prove a result of Datko type concerning the exponential dichotomy of stoch...

We give a short introduction to the stochastic calculus for Itô-Lévy processes, and review brie‡y the two main methods of optimal control of stochastic systems described by such processes, namely: (i) Dynamic programming and the Hamilton-Jacobi-Bellman (HJB) equation (ii) The stochastic maximum principle and its associated adjoint backward stochastic di¤erential equation (BSDE). The two methods...

colleagues [1] exploring the value of cytochemical markers for the diff erential diagnosis of meningitis in patients with a Gram-negative direct cerebrospinal fl uid (CSF) examination. We have some concern as regards the confounding factors in their study. Firstly, although lumbar puncture was performed immediately on patient admission, the timepoint to obtain the CSF samples relative to the on...

Litt le is known about the acquisition of another language modality on second language (L2) working memory (WM) capacity. Diff erential indexing within the WM system based on language modality may explain diff erences in performance on WM tasks in sign and spoken language. We investigated the eff ect of language modality (sign versus spoken) on L2 WM capacity. Results indicated reduced L2 WM sp...

We consider the di?erential equation f<sup>''</sup> +A(z)f<sup>'</sup> +B(z)f = 0, where A(z) and B(z) are entire complex functions. improve various restrictions on coe?cients prove that all non-trivial solutions of in?nite order.

Examining the visual fi elds is an integral part of any ophthalmic evaluation. All ophthalmologists ordering and interpreting visual fi elds should go through the experience of having visual fi eld tests done on them, and also perform some tests on patients themselves. This may help them better understand and use the diff erent perimeters available, and improve their communication with their te...

The concept of pain has evolved from that of a one-dimensional sensation to that of a multi-dimensional experience encompassing sensory, discriminate, cognitive, motivational and aff ective qualities. Pain is the presenting symptom of a broad spectrum of diseases that needs to be diagnosed and treated. Establishing a precise diagnosis and providing eff ective treatment have become major challen...

In this study we analyze a non-overlapping domain decomposition method for the solution of elliptic Partial Di erential Equation (PDE) problems. This domain decomposition method involves the solution of Dirichlet and Neumann PDE problems on each subdomain, coupled with smoothing operations on the interfaces of the subdomains. The convergence analysis of the method at the di erential equation le...

Let us consider the di erential equation