On the attractivity properties for the equation $x'' + a\left( t \right)f_1 \left( x \right)g_1 \left( {x'} \right)x' + b\left( t \right)f_2 \left( x \right)g_2 \left( {x'} \right)x = e\left( {t,x,x'} \right)$
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