Title Expressions of solutions of ordinary differential equations by standard functions /
Authors Navickas, Z ; Bikulčienė, L
DOI 10.3846/13926292.2006.9637327
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Is Part of Mathematical modelling and analysis.. Vilnius : Technika. 2006, vol. 11, no. 4, p. 399-412.. ISSN 1392-6292. eISSN 1648-3510
Keywords [eng] Differential equation ; Algebraic progression ; Van-der-Mond deternant ; Standard functions
Abstract [eng] It is well known that solutions of many ordinary differential equations allow presentation in the power series form. In the paper we introduce and analyze rigorous conditions underwhich the later series (solutions) can be reduced to a finite sum of standard functions. Some areas of practical applicability of the proposed algorithm are discussed.
Published Vilnius : Technika
Type Journal article
Language English
Publication date 2006
CC license CC license description