The Convergence of Expansions in Eigenfunctions of a Differential Operator with Integral Boundary Conditions

For an ordinary differential operator of the second order on the cutting of a numerical line with integral boundary conditions, the conditions for unconditional basis and uniform convergence of the function expansion in a series by the system of eigenfunctions and associated functions are established. We obtain an estimate of the convergence rate of the series and estimate the rate of equiconvergence of the specified function decomposition and decomposition of this function into the trigonometric Fourier series. The uniform convergence of the function decomposition over the conjugate system is investigated.

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02.11.2018

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02.11.2018

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GOST	Lomov I. The Convergence of Expansions in Eigenfunctions of a Differential Operator with Integral Boundary Conditions // Doklady Akademii nauk – 2018. – V. 481. – Issue 6 C. 599-604 [Electronic resource]. URL: http://ras.jes.su/dan/s207987840001314-4-1-en (circulation date: 23.04.2024). DOI: 10.31857/S086956520002091-3
MLA	Lomov, Igor "The Convergence of Expansions in Eigenfunctions of a Differential Operator with Integral Boundary Conditions." Doklady Akademii nauk 481.6 (2018):599-604. DOI: 10.31857/S086956520002091-3
APA	Lomov I. (2018). The Convergence of Expansions in Eigenfunctions of a Differential Operator with Integral Boundary Conditions. Doklady Akademii nauk 481(6), pp.599-604 DOI: 10.31857/S086956520002091-3

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