Forced liénard equations with nonlocal nonlinearities

Abstract
We approximate the operator equation Au+g(u)= h by the averaged system Av + PSPJ.v=h ,3 2llvll P Min the Hilbert space &= L (ft) where ft c Rn has finite mass M .We solvethe system explicitly and discuss the dependence of its solutions as g and h are varied.We extend our analysistoan operator equation which contains a damping term

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