%0 Journal Article %T Asymptotic solution of singularly perturbed cauchy problem for first-order equation in a banach space %A Zubova, S.. %A Uskov, V.. %K singularly perturbed differential equations, asymptotic methods, Fredholm operator, cascade decomposition. %J Actual directions of scientific researches of the XXI century: theory and practice %D 2015 %N 3 %P 2 %I FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov