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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 2, Pages 237–252 (Mi zvmmf9654)  
This article is cited in 10 scientific papers (total in 10 papers)

Method for constructing solutions of linear ordinary differential equations with constant coefficients

V. V. Karachik

Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080 Russia
Full-text PDF (297 kB) Citations (10)
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Abstract: For Cauchy problems involving linear differential equations with constant coefficients, a new method for constructing solutions without determining the roots of the characteristic equation is proposed. Formulas for the differentiation of the solution with respect to the equation coefficients are derived, and an approximate analytical solution is found.
Key words: ordinary differential equations with constant coefficients, Cauchy problem, operator series, differentiation with respect to coefficients.
Received: 16.06.2011
Revised: 08.08.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 2, Pages 219–234
DOI: https://doi.org/10.1134/S0965542512020108
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: V. V. Karachik, “Method for constructing solutions of linear ordinary differential equations with constant coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012), 237–252; Comput. Math. Math. Phys., 52:2 (2012), 219–234
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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