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Research Article Open Access
In this paper we are concerned with a nonlocal problem of a stochastic differential equation that contains a Brownian motion. The solution contains both of mean square Riemann and mean square Riemann-Steltjes integrals, so we study an existence theorem for unique mean square continuous solution and its continuous dependence of the random data X0 and the (non-random data) coefficients of the nonlocal condition ak. Also, a stochastic differential equation with the integral condition will be considered.
Integral condition, Brownian motion, Unique mean Square solution, Continuous dependence, Random data, Non- Random data, Integral condition, Biometrics ,Biostatistics, Behaviometrics, Combinatorics, Deformation, Geometry, Harmonic analysis, Algebra, Homotopical Algebra,Latin square, Lie theory, Lie Triple Systems, Loop Algebra,Representation theory, Symmetric Space, Topology, Quantum Group, Operad theory, Quasigroup