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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2025, Volume 57, Issue 1, Pages 27–40 (Mi pmf437)

MATHEMATICS

Power asymptotics of solutions of the two-sided cauchy problem for degenerate second-order differential equations

V. P. Arkhipova, A. V. Glushakb

a Orål State University named after I.S. Turgenev
b Belgorod National Research University

Abstract: For ordinary linear degenerate differential equations of the second order, representations of the solution of the two-sided Cauchy problem with conditions at the degeneracy point are obtained. An algorithm for constructing power asymptotics of solutions is given. Examples are considered.

Keywords: degenerate differential equations, two-Sided cauchy problem, power asymptotics of solutions.

Received: 30.03.2025
Accepted: 30.03.2025

DOI: 10.52575/2687-0959-2025-57-1-27-40



© Steklov Math. Inst. of RAS, 2026