A Generalized Smoother for Linear Ordinary Differential Equations
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DOI: 10.1080/10618600.2016.1265526
Abstract: ABSTRACT Ordinary differential equations (ODEs) are equalities involving a function and its derivatives that define the evolution of the function over a prespecified domain. The applications of ODEs range from simulation and prediction to control… read more here.
Keywords: ordinary differential; generalized smoother; finance; differential equations ... See more keywords
Solving some problems for systems of linear ordinary differential equations with redundant conditions
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DOI: 10.1134/s0965542517080024
Abstract: Numerical methods are proposed for solving some problems for a system of linear ordinary differential equations in which the basic conditions (which are generally nonlocal ones specified by a Stieltjes integral) are supplemented with redundant… read more here.
Keywords: ordinary differential; system; solving problems; differential equations ... See more keywords
Regular Solutions of Linear Ordinary Differential Equations and Truncated Series
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DOI: 10.1134/s0965542520010029
Abstract: Abstract Linear ordinary differential equations with coefficients in the form of truncated formal power series are considered. Earlier, it was discussed what can be found from an equation specified in this way about its solutions… read more here.
Keywords: ordinary differential; truncated series; series; differential equations ... See more keywords