Averaging principle for a stochastic cable equation

Averaging principle for the one-dimensional parabolic equation driven by stochastic measure

“…The cable equation describes potential changes along the branch of the dendritic tree (see [5]). The averaging principle for the cable equation on [0, L] with f ≡ 0 was established in [2] with the better order of strong convergence (γ 1 < 1 2 (1 − 1 2β(σ ) )).…”

“…Some other equations driven by Wiener process are considered in [4,6] and [20]. Different types of equations with general stochastic measures are investigated in [2,3,14,19] and [16].…”

Transport equation driven by a stochastic measure

“…The recent results for the equations driven by stochastic measures may be found in [2], [9], [10]. The rest of the paper is organized as follows.…”