@article{oai:ynu.repo.nii.ac.jp:00006818,
 author = {Narita, K.},
 issue = {1},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, By the averaging method the weak convergence of a parameterized sequence of processes to a limit process is considered for a multi-dimensional SDE of the McKean type having the drift and diffusion coefficients with a polynomial growth condition in the phase variable. A two-dimensional SDE with mean-field containing a small parameter ＄￥epsilon>0＄ is taken as an application, which is a random perturbation of a dynamical system having an equilibrium point ＄(0,0)＄ of the plane as a center. A limit process on time scales of order ＄ 1/￥epsilon＄ is derived and identified for such an equation under the assumption on the existence of a suitable Lyapunov function.},
 pages = {37--56},
 title = {AVERAGING AND WEAK CONVERGENCE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS OF THE MCKEAN TYPE},
 volume = {38},
 year = {1990}
}