The numerical evaluation of statistics plays a crucial role in statistical physics and its applied fields. It is possible to evaluate the for stochastic differential equation with Gaussian white noise via corresponding backward Kolmogorov equation. important notice that there no need obtain solution on whole domain; it enough value at certain point corresponds initial coordinate For this aim, a...

Abstract In this article, we study the observability (or equivalently, controllability) of some subelliptic evolution equations depending on their step. This sheds light speed propagation these equations, notably in ‘degenerated directions’ structure. First, for any $\gamma \geq 1$ , establish a resolvent estimate Baouendi–Grushin-type operator $\Delta _{\gamma }=\partial _x^2+\left \lvert x\ri...

In this paper, we introduce and study a system of mixed variational-like inclusions and a system of proximal operator equations in Banach spaces which contains variational inequalities, variational inclusions, resolvent equations, system of variational inequalities and system of variational inclusions in the literature as special cases. It is established that the system of mixed variational-lik...

In this paper, we introduce and study a new class of generalized nonlinear mixed quasi-variational inequalities involving maximal η-monotone mapping. Using the resolvent operator technique for maximal η-monotone mapping, we prove the existence of solution for this kind of generalized nonlinear multi-valued mixed quasi-variational inequalities without compactness and the convergence of iterative...

each semester, students are asked to evaluate the academic staff through an online questionnaire. generalized estimating equations model (gee), taking into account the correlation between scores, is the established tool to analyze longitudinal data. the aim of this manuscript is to identify characteristics that influence staff score and to address the importance of selection of appropriate corr...

The Nyquist Stability Criterion is generalized to systems where the (open-loop) system has infinite-dimensional input/output spaces and a (possibly) unbounded infinitesimal generator. This is done through use of the perturbation determinant and an extension of the Argument Principle to infinitesimal generators with trace-class resolvent.

The aim of this work is to use resolvent operator technique to find the common solutions for a system of generalized nonlinear relaxed cocoercive mixed variational inequalities and fixed point problems for Lipschitz mappings in Hilbert spaces. The results obtained in this work may be viewed as an extension, refinement and improvement of the previously known results.

Using the theory of self-adjoint extensions, we construct all the possible hamiltonians describing the non relativistic Aharonov-Bohm effect. In general the resulting hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scatter...