Algebraic-Differential Systems with Large and Rapidly Oscillating Coefficients. Asymptotics of Solutions


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Abstract

We construct and justify asymptotics of linearly independent system of solutions to an algebraic-differential system with large rapidly oscillating coefficients.

About the authors

V. B. Levenshtam

Southern Federal University; Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania

Author for correspondence.
Email: vleven@math.rsu.ru
Russian Federation, 105/42 Sadovaya St, Rostov-on-Don, 344006; 22, Markusa St, Vladikavkaz, 362027

S. P. Prika

Southern Federal University

Email: vleven@math.rsu.ru
Russian Federation, 105/42 Sadovaya St, Rostov-on-Don, 344006

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