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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 5, pp. 690–697, May, 2010.
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Chuiko, S.M. Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action. Ukr Math J 62, 794–803 (2010). https://doi.org/10.1007/s11253-010-0389-4
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DOI: https://doi.org/10.1007/s11253-010-0389-4