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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 122, Pages 187–199 (Mi vtamu69)

This article is cited in 1 paper

On asymptotic behavior of the fundamental solution and the Cauchy function for neutral differential equations

A. S. Balandin

Perm National Research Polytechnic University

Abstract: We consider a linear autonomous neutral functional differential equation. We obtain formulas relating the fundamental solution and the Cauchy function for this equation. On the basis of the formulas the asymptotic behavior of solutions of the equation is studied.

Keywords: functional differential equation, neutral equation, the fundamental solution, the Cauchy function, asymptotic behavior.

UDC: 517.929

Received: 19.03.2018

DOI: 10.20310/1810-0198-2018-23-122-187-199



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© Steklov Math. Inst. of RAS, 2024