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Singular Cauchy problem for a functional-differential equation: solvability, number of solutions, asymptotics
Zernov Oleksandr Evgeniovych 1 , Chaychuk O. R. 2
1 Department of Algebra and Geometry, South Ukrainian State Pedagogical University named after K. D. Ushynsky, Odesa, 65020, Ukraine
2 South Ukrainian State Pedagogical University named after K.D. Ushynsky, Odesa, 65020, Ukraine
Keywords: Cauchy problem, functional-differential equation, asymptotics
Abstract

The qualitative methods are employed to prove existence of continuously differentiable solutions with required asymptotic properties in the neighbourhood of a singular point.

Cite
ACS Style
Zernov, O.E.; Chaychuk, O.R. Singular Cauchy problem for a functional-differential equation: solvability, number of solutions, asymptotics. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Zernov OE, Chaychuk OR. Singular Cauchy problem for a functional-differential equation: solvability, number of solutions, asymptotics. Bukovinian Mathematical Journal. 2018; 1(239).
Chicago/Turabian Style
Oleksandr Evgeniovych Zernov, O. R. Chaychuk. 2018. "Singular Cauchy problem for a functional-differential equation: solvability, number of solutions, asymptotics". Bukovinian Mathematical Journal. 1 no. 239.
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