Sentence examples for for some stochastic from inspiring English sources

Moreover, some results of the existence of solutions were obtained for some stochastic differential equations in [2 6], and the exponential stability was considered for a kind of impulsive neutral stochastic partial differential equations in [7].

Dissipativity towards high modes is a classical question in hydrodynamics; for some stochastic model this dissipativity can be exactly computed through the asymptotic of a jump process on the modes; this asymptotical study is the object of this paper.

Mass action kinetics are also necessary for some stochastic simulation methods or analysis techniques like CRNT [9].

Each of the mapping programs allows for some stochastic assignment of ambiguous reads among potential best hits in the genome.

On other hand, if the variegation for each insertion results from some stochastic event, then the suppressed insertions would have a random distribution.

Secondly, based on these sufficient conditions for one-species and some stochastic analysis techniques, sufficient criteria for ensuring the partial permanence and extinction of the populations of the n different species in the ecosystem have been obtained.

If and are -vectors of real numbers such that for some doubly stochastic matrix, then we say that is (vector) majorized by ; see [1].

It is well known that, for (mathbf{x},mathbf{y}inmathbb{R}^{l}), mathbf{y}precmathbf{x}quad text{if and only if}quad mathbf {y}= mathbf{xA} for some double stochastic matrix (mathbf{A}inmathcal{M}_{l}(mathbb {R})).

In [16], the author discussed the existence and uniqueness of a solution in (L^{p}) (pth moment) sense for some multivalued stochastic differential equations under a non-Lipschitz condition.

Under suitable conditions on the coefficients, we establish the existence of solutions which are almost automorphic in distribution for some semilinear stochastic differential equations with infinite dimensional Lévy noise.

Let (mathbf{x}in[alpha,beta ]^{l}), (mathbf{y}in[alpha,beta]^{k}), (mathbf{a}in[ 0,infty )^{l}), and (mathbf{b}in[0,infty)^{k}) be such that (1.1) holds for some row stochastic matrix (mathbf{A} inmathcal{M}_{kl}(mathbb{R})) and the entries of a and b satisfy the condition (sum_{j=1}^{l}a_{j}=sum_{j=1}^{l}a_{j}=1).