M. Sh. Burlutskaya, A. P. Khromov, “On the equiconvergence of expansions for the certain class of the functional-differential operators with involution on the graph”, Izv. Saratov Univ. Math. Mech. Inform., 2008, Volume 8, Issue 1,Pages <nobr>9

Mathematics

On the equiconvergence of expansions for the certain class of the functional-differential operators with involution on the graph

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 and trigonometric Fourier series is established for a 1-st order functional-differential operator on the graph-cycle.

UDC: 517.984

DOI: 10.18500/1816-9791-2008-8-1-9-14