TY - JOUR AU - Yu. G. Abbasova AU - V. M. Kurbanov PY - 2017/06/25 Y2 - 2024/03/29 TI - Convergence of the spectral decomposition of a function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of a differential operator of the third order JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 69 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1731 AB - We consider, a third-order differential operator with matrix coefficients. The absolute and uniform convergence of theorthogonal expansion of a vector function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of this operator isstudied and the rate of uniform convergence of this expansion on $G = [0, 1]$ is estimated. ER -