TY JOUR TI Asymptotic solution of singularly perturbed cauchy problem for first-order equation in a banach space KW singularly perturbed differential equations KW asymptotic methods KW Fredholm operator KW cascade decomposition. JO Actual directions of scientific researches of the XXI century: theory and practice AU Zubova, S.. AU Uskov, V.. PY 2015 IS 3 PB FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov