Localization of nonlocal cosmological models with quadratic potentials in the case of double roots

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(□g), which has both double and simple roots. The formulae for non-local energy-momentum tensor, which correspond to double roots have been obtained. The way to find particular solutions for non-local Einstein equations in the case when F(□g) has both simple and double roots has been proposed. One and the same functions solve the initial non-local Einstein equations and the obtained local Einstein equations. PACS numbers: 98.88.Jk, 95.36.+x, 11.10Lm 1