TY - JOUR AU - O. M. Atlasiuk AU - V. A. Mikhailets PY - 2018/10/25 Y2 - 2024/03/28 TI - Fredholm one-dimensional boundary-value problems in Sobolev spaces JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 70 IS - 10 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1638 AB - For systems of ordinary differential equations on a compact interval, we investigate the character of solvability of the mostgeneral linear boundary-value problems in Sobolev spaces. We find the indexes of these problems and obtain a criterion oftheir well-posedness. ER -