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First, starting from two hierarchies of autonomous St\"{a}ckel ODE's, wereconstruct the hierarchy of KdV stationary systems. Next, we deform consideredautonomous St\"{a}ckel systems to non-autonomous Painlev\'{e} hierarchies ofODE's. Finally, we reconstruct the related non-autonomous KdV stationaryhierarchies from respective Painlev\'{e} systems.

Multi-component Painlev\'{e} ODE's and related non-autonomous KdV stationary hierarchies