M. Sh. Burlutskaya, A. P. Khromov, “On the same theorem on a equiconvergence at the whole segment for the functional-differential operators”, Izv. Saratov Univ. Math. Mech. Inform., 2009, Volume 9, Issue 4(1),Pages <nobr>3

This article is cited in 6 papers

Mathematics

On the same theorem on a equiconvergence at the whole segment for the functional-differential operators

M. Sh. Burlutskaya^a, A. P. Khromov^b

^a Voronezh State University, Chair of Mathematical Analysis
^b Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: The equiconvergence of expansions in eigen- and adjoint functions of functional-differential operator with involution, containing the potentials, and simplest functional-differential operator at the whole segment of Fourier series is established.

Key words: functional-differential operator, involution, the expansions in eigen and associated functions, equiconvergence.

UDC: 517.984

DOI: 10.18500/1816-9791-2009-9-4-1-3-10