If a problem has a unique solution, but this solution is not continuous with respect to small variations of data this problem is ill posed. The methods used to stabilize ill-posed problems are known to stabilize. The ...

This work is concerned the study of a class of ill-posed Cauchy problems associated with a densely defined linear operator A in a Banach space X. It is proved that if –A is the generator of an analytic semi-group, then ...

The purpose of this thesis is to study numerically by two methods, the method of .finite Differences and finite volume method that applies to the advection-diffusion equation, Represented as a transportation problem in R. ...

"The synchronization of two dynamic systems means that each system evolves following the behavior of the other. In mathematics, synchronizing two systems is to bring their trajectories until they end up being together, ...

The resolution of stochastic differential equations put a very complex problem. For this raison, we have presented a deep study (Continuous Generalized Auto Regressive Conditioned Heteroscedastic) (COGARCH), largely applied ...

The aim or goal of this work is to study some problems of nonlinear time series. The particular class of models nonlinear that was extensity discussed in the literature is he class of periodic bilinear models. The sufficient ...