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19992025
most citedA Review of Tracking, Prediction and Decision Making Methods for Autonomous Driving

174 citations

Showing math.PRShow all

5 papers · 1 filter

math.PR2013★ 14 cited

On the continuity of the probabilistic representation of a semilinear Neumann-Dirichlet problem

Lucian Maticiuc, Aurel Răşcanu

In this article we prove the continuity of the deterministic function , defined by , where the process $…

math.PR2013★ 5 cited

Multivalued Backward Stochastic Differential Equations with Time Delayed Generators

Bakarime Diomande, Lucian Maticiuc

Our aim is to study the following new type of multivalued backward stochastic differential equation: \[ \left\{\begin{array} [c]{r}-dY\left(t\right) +\partialφ\left(Y\left(t\right)…

math.PR2011★ 21 cited

Backward stochastic variational inequalities on random interval

Lucian Maticiuc, Aurel Răşcanu

The aim of this paper is to study, in the infinite dimensional framework, the existence and uniqueness for the solution of the following multivalued generalized backward stochastic…

math.PR2011★ 34 cited

Fractional backward stochastic differential euqations and fractional backward variational inequalities

Lucian Maticiuc, Tianyang Nie

In the framework of fractional stochastic calculus, we study the existence and the uniqueness of the solution for a backward stochastic differential equation, formally written as:…

math.PR2008★ 1 cited

Backward stochastic variational inequalities with locally bounded generators

Lucian Maticiuc, Aurel Rascanu, Adrian Zalinescu

The paper deals with the existence and uniqueness of the solution of the backward stochastic variational inequality: \begin{equation} \left\{\begin{array} {l}-dY_{t}+\partial φ(Y_{…