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 partial sums of a generalized Fourier series.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 5, pp 794-803.
Citation Example: Chuiko S. M. Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action // Ukr. Mat. Zh. - 2010. - 62, № 5. - pp. 690–697.