Computer Calculation of Green Functions for Third-Order Ordinary Differential Equations

In this paper, we present a method of computer calculation of Green functions in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green functions by using the software proposed.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-12, Vol.259 (3), p.265-271
Main Authors: Belyaeva, I. N., Chekanov, N. A., Krasovskaya, L. V., Chekanova, N. N.
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Green's functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary differential equations
Power series
Simulation methods
Singularity (mathematics)
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Description
Summary:In this paper, we present a method of computer calculation of Green functions in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green functions by using the software proposed.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05615-9