Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action

We use the scheme of the classic least-squares method for the construction of an approximate pseudosolution of a linear ill-posed boundary-value problem with pulse action for a system of ordinary differential equations in the critical case. The pseudosolution obtained is represented in the form of p...

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Vydané v:Ukrainian mathematical journal Ročník 62; číslo 5; s. 794 - 803
Hlavný autor: Chuiko, S. M.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Boston Springer US 01.11.2010
Springer
Predmet:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Pulse Action
Homogeneous Part
Fundamental Matrix
Critical Case
Green Operator
ISSN:0041-5995, 1573-9376
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Shrnutí:We use the scheme of the classic least-squares method for the construction of an approximate pseudosolution of a linear ill-posed boundary-value problem with pulse action for a system of ordinary differential equations in the critical case. The pseudosolution obtained is represented in the form of partial sums of a generalized Fourier series.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-010-0389-4