1. ON COMPLETENESS OF FLOW GENERATED BY A STOCHASTIC ALGEBRAIC-DIFFERENTIAL EQUATION WITH FORWARD MEAN DERIVATIVE SATIFYING THE RANK-DEGREE CONDITION


Author: YURI GLIKLIKH AND MIKHAIL RYAZANTSEV                                                      DOWNLOAD


DOI: 


Abstract


We find conditions under which all solutions of stochastic algebraic-differential equations given in terms of forward Nelson’s mean derivatives, exist for all t ∈ [0,∞). We suppose that the matrix pencil of equation  satisfies the rank-degree condition



Keywords 


Mean derivatives; stochastic algebraic-differential equations; global in time solution.


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