

Complex analysis and mathematical physics
March 22, 2016 16:00–18:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)






Interpolation in asymptotic integration of secondorder differential equations
S. A. Stepin^{} ^{} Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract:
For ordinary differential equations the equivalence concerning the common applicability domain is established for two known
asymptotic integration methods, namely the method which reduces initial equation to nearlydiagonal Levinson type system
and the approach based on reduction to Riccatitype equation. Besides the question is answered about the possibility of
interpolation, i.e. treatment of both cases within the unified approach, that enables us to improve one result due to Hartman.

